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            <loc>https://www.real-world-physics-problems.com/acceleration-problems.html</loc>
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              <image:loc>https://www.real-world-physics-problems.com/images/aerodynamics_kids_bird.jpg</image:loc>
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              <image:loc>https://www.real-world-physics-problems.com/images/aerodynamics_kids_3.png</image:loc>
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            <loc>https://www.real-world-physics-problems.com/amusement-park-physics.html</loc>
            <lastmod>2017-06-14T01:44:36.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/amusement_park_physics_2.png</image:loc>
              <image:caption>amusement park rides case 2</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/amusement_park_physics_1.png</image:loc>
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              <image:loc>https://www.real-world-physics-problems.com/images/gravitron_1.png</image:loc>
              <image:caption>gravitron equation 1</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gravitron_4.png</image:loc>
              <image:caption>gravitron equation 4</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/amusement_park_physics_3.png</image:loc>
              <image:caption>amusement park rides case 3</image:caption>
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              <image:caption>gravitron schematic</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gravitron_3.png</image:loc>
              <image:caption>gravitron equation 3</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gravitron_2.png</image:loc>
              <image:caption>gravitron equation 2</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gravitron_5.png</image:loc>
              <image:caption>gravitron equation 5</image:caption>
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      <url>
            <loc>https://www.real-world-physics-problems.com/angular-momentum.html</loc>
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              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_14.png</image:loc>
              <image:caption>Schematic for general rigid body experiencing three dimensional motion for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_16.png</image:loc>
              <image:caption>For general motion in three dimensions the angular momentum rate is equal to the sum of moments</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_31.png</image:loc>
              <image:caption>Final equation relating the rate of change of angular momentum to the sum of moments</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_26.png</image:loc>
              <image:caption>Substitute equation 13 into equation 11 for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_24.png</image:loc>
              <image:caption>Velocity of particle mi relative to G for angular momentum 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_22.png</image:loc>
              <image:caption>Differentiate angular momentum equation for small mass element in rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_12.png</image:loc>
              <image:caption>Product of inertia terms for a rigid body experiencing general three dimensional motion for ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_29.png</image:loc>
              <image:caption>Sum over all the particles mi in the rigid body for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_1.png</image:loc>
              <image:caption>General angular momentum equation for a rigid body experiencing planar motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_27.png</image:loc>
              <image:caption>Newtons second law for mi for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_21.png</image:loc>
              <image:caption>Angular momentum equation for small mass element in rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_19.png</image:loc>
              <image:caption>Ang mom equation when there is no external moment acting on the rigid body experiencing 3d motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_7.png</image:loc>
              <image:caption>General planar motion equation relating impulse to the change in angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_25.png</image:loc>
              <image:caption>Differentiate velocity of particle mi relative to G for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_33.png</image:loc>
              <image:caption>Angular momentum equation for small mass element in rigid body 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_5.png</image:loc>
              <image:caption>For general planar motion the angular momentum rate about G is equal to the sum of moments about G</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_3.png</image:loc>
              <image:caption>Schematic for rigid body experiencing planar motion and rotating about fixed point O for ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_13.png</image:loc>
              <image:caption>Ang mom equations about principal directions for a rigid body experiencing three dimensional motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_18.png</image:loc>
              <image:caption>General three dimensional motion equation relating impulse to the change in angular momentum 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_6.png</image:loc>
              <image:caption>For planar motion about fixed point O the ang mom rate about O is equal to sum of moments about O</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_9.png</image:loc>
              <image:caption>Ang mom equation when there is no external moment acting on rigid body experiencing planar motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_2.png</image:loc>
              <image:caption>Schematic for general rigid body experiencing planar motion for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_23.png</image:loc>
              <image:caption>Velocity of particle mi relative to G for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_20.png</image:loc>
              <image:caption>Schematic for derivation of ang mom equations for rigid body experiencing three dimensional motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_30.png</image:loc>
              <image:caption>Zero term simplifiying the equation for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_28.png</image:loc>
              <image:caption>Substitute newtons second law into equation 11 for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_4.png</image:loc>
              <image:caption>Ang mom equation for a rigid body experiencing planar motion and rotating about fixed point O</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_17.png</image:loc>
              <image:caption>General three dimensional motion equation relating impulse to the change in angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_8.png</image:loc>
              <image:caption>General planar motion equation relating impulse to the change in angular momentum 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_10.png</image:loc>
              <image:caption>General angular momentum equations for a rigid body experiencing three dimensional motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_11.png</image:loc>
              <image:caption>Moment of inertia terms for a rigid body experiencing general three dimensional motion for ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/angular_momentum_15.png</image:loc>
              <image:caption>Schematic for rigid body experiencing 3d motion and rotating about a fixed point O for ang mom</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/apophis-warning.html</loc>
            <lastmod>2023-05-18T04:41:39.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/apophis_nuclear_exp2.png</image:loc>
              <image:caption>asteroid deflection with nuke 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/arizona_crater.jpg</image:loc>
              <image:caption>arizona meteor crater</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/asteroid_chart.png</image:loc>
              <image:caption>asteroid chart</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/asteroid_impact_big.jpg</image:loc>
              <image:caption>asteroid collision with Earth</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/apophis_nuclear_exp.png</image:loc>
              <image:caption>asteroid deflection with nuke 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/incoming_meteor_apophis.jpg</image:loc>
              <image:caption>incoming meteor</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/planetary_defence_campaign.jpg</image:loc>
              <image:caption>planetary defence campaign apophis map</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/are-aliens-real.html</loc>
            <lastmod>2021-05-31T04:46:52.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/aliens_real_mars_rover_curiosity_2015.jpg</image:loc>
              <image:caption>are aliens real possible mars entrance</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/aliens_real_underground.png</image:loc>
              <image:caption>are aliens real possibly living underground</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/aliens_real_dyson_swarm.png</image:loc>
              <image:caption>are aliens real dyson swarm</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/aliens_real_radio_dishes.jpg</image:loc>
              <image:caption>are aliens real radio dishes</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/aliens_real_curiosity_mars_rover.jpg</image:loc>
              <image:caption>are aliens real mars rover curiosity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/aliens_real_mars_thigh_bone.jpg</image:loc>
              <image:caption>are aliens real mars thigh bone</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/asteroid-impact.html</loc>
            <lastmod>2023-12-19T04:48:58.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/asteroid_impact.jpg</image:loc>
              <image:caption>asteroid impact picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/barringer_crater.jpg</image:loc>
              <image:caption>barringer crater picture</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/balancing-bird.html</loc>
            <lastmod>2017-06-15T02:03:04.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/balancing_bird.jpg</image:loc>
              <image:caption>picture of balancing bird</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/balsa-glider.html</loc>
            <lastmod>2017-06-15T02:35:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/balsa_glider.jpg</image:loc>
              <image:caption>picture of balsa glider</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/bicycle-physics.html</loc>
            <lastmod>2017-07-23T16:23:38.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_picture.jpg</image:loc>
              <image:caption>picture of bicycle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_7.png</image:loc>
              <image:caption>normal force for bike on flat surface</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_9.png</image:loc>
              <image:caption>sum of moments for bike going around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycles_turning.jpg</image:loc>
              <image:caption>bicycles turning</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_17.png</image:loc>
              <image:caption>force eqn for bike coasting down hill with rolling and air drag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_18.png</image:loc>
              <image:caption>push force eqn for bike going up hill with rolling and air drag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_15.png</image:loc>
              <image:caption>push force for bike on level surface with rolling and air drag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_1.png</image:loc>
              <image:caption>front wheel schematic of bicycle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_12.png</image:loc>
              <image:caption>torque for bike 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_2.png</image:loc>
              <image:caption>bicycle schematic showing lean and steer angle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_8.png</image:loc>
              <image:caption>centripetal force for bike on flat surface</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_10.png</image:loc>
              <image:caption>angle of lean for bike going around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_13.png</image:loc>
              <image:caption>rear wheel force for bike based on torque</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_20.png</image:loc>
              <image:caption>trail equation for front bike wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_3.png</image:loc>
              <image:caption>bicycle going up incline</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_11.png</image:loc>
              <image:caption>torque for bike 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_5.png</image:loc>
              <image:caption>rear bicycle wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_19.png</image:loc>
              <image:caption>push power eqn for bike going up hill with rolling and air drag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_6.png</image:loc>
              <image:caption>bicycle lean schematic</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_16.png</image:loc>
              <image:caption>push power for bike on level surface with rolling and air drag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bicycle_physics_4.png</image:loc>
              <image:caption>rear bicycle wheel 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/biomass-energy-for-kids.html</loc>
            <lastmod>2017-06-16T02:11:22.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/biomass_kids_1.png</image:loc>
              <image:caption>biomass energy figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/biomass_kids_2.png</image:loc>
              <image:caption>biomass energy figure 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/boomerang.html</loc>
            <lastmod>2017-06-16T02:19:53.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/boomerang.jpg</image:loc>
              <image:caption>picture of boomerang</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/bouncing-ball-physics.html</loc>
            <lastmod>2017-07-23T16:27:07.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_7.png</image:loc>
              <image:caption>stage 7 of bouncing ball falling vertically downward under influence of gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_strobe_edit.jpg</image:loc>
              <image:caption>bouncing ball captured with a stroboscopic flash at 25 images per second</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_3.png</image:loc>
              <image:caption>stage 3 of bouncing ball falling vertically downward under influence of gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_2.png</image:loc>
              <image:caption>stage 2 of bouncing ball falling vertically downward under influence of gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_1.png</image:loc>
              <image:caption>stage 1 of bouncing ball falling vertically downward under influence of gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_6.png</image:loc>
              <image:caption>stage 6 of bouncing ball falling vertically downward under influence of gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_4.png</image:loc>
              <image:caption>stage 4 of bouncing ball falling vertically downward under influence of gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_8.png</image:loc>
              <image:caption>ball with spin and velocity reversal after the bounce</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bouncing_ball_physics_5.png</image:loc>
              <image:caption>stage 5 of bouncing ball falling vertically downward under influence of gravity</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/catapult-physics.html</loc>
            <lastmod>2019-04-02T16:16:04.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ballista_picture_edit.jpg</image:loc>
              <image:caption>ballista catapult picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/catapult_trebuchet.jpg</image:loc>
              <image:caption>trebuchet catapult picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/catapult_picture_edit.jpg</image:loc>
              <image:caption>mangonel catapult picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_catapult_1.png</image:loc>
              <image:caption>trebuchet catapult during launch 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_catapult_3.png</image:loc>
              <image:caption>trebuchet catapult during launch 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_catapult_2.png</image:loc>
              <image:caption>trebuchet catapult during launch 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_catapult_6.png</image:loc>
              <image:caption>mangonel catapult using torsion type energy storage device</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_catapult_4.png</image:loc>
              <image:caption>mangonel catapult using tension type energy storage device</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_catapult_5.png</image:loc>
              <image:caption>mangonel catapult using tension type energy storage device 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_catapult_7.png</image:loc>
              <image:caption>torsion bundle for mangonel catapult</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/center-of-mass.html</loc>
            <lastmod>2017-07-03T17:48:03.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_mass_3.png</image:loc>
              <image:caption>center of mass of rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_mass_1.png</image:loc>
              <image:caption>center of mass of system of particles</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_mass_2.png</image:loc>
              <image:caption>equations for calculating center of mass of system of particles</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/center-of-percussion.html</loc>
            <lastmod>2017-06-17T19:35:56.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_percussion_6.png</image:loc>
              <image:caption>Final equation for lF for a general rigid body for center of percussion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_percussion_1.png</image:loc>
              <image:caption>Schematic for analysis of the center of percussion of a general rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_percussion_3.png</image:loc>
              <image:caption>Sum of the moments about P for a general rigid body for center of percussion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_percussion_4.png</image:loc>
              <image:caption>Relationship between angular acceleration and aG for a general rigid body for center of percussion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_percussion_2.png</image:loc>
              <image:caption>Moment equation for a general rigid body for center of percussion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/center_of_percussion_5.png</image:loc>
              <image:caption>Newtons second law in x direction for a general rigid body for center of percussion</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/centrifugal-force.html</loc>
            <lastmod>2017-07-23T17:10:45.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/centrifugal_force_3.png</image:loc>
              <image:caption>Newtons second law for particle sitting on turntable</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/centrifugal_force_7.png</image:loc>
              <image:caption>Schematic showing reactive centrifugal force for particle sitting on turntable</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/centrifugal_force_5.png</image:loc>
              <image:caption>Outward radial motion of particle on turntable if friction force insufficient</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/centrifugal_force_2.png</image:loc>
              <image:caption>Centripetal acceleration of particle sitting on turntable</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/centrifugal_force_6.png</image:loc>
              <image:caption>Reactive centrifugal force for particle sitting on turntable</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/centrifugal_force_4.png</image:loc>
              <image:caption>Outward radial motion of particle on turntable illustrating fictitious centrifugal force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/centrifugal_force_1.png</image:loc>
              <image:caption>Schematic for particle sitting on turntable</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/chaos-tower.html</loc>
            <lastmod>2017-06-17T20:16:22.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/chaos_tower.jpg</image:loc>
              <image:caption>picture of chaos tower</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/cheap-energy.html</loc>
            <lastmod>2019-07-28T21:22:51.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheap_energy_solar_heating.png</image:loc>
              <image:caption>solar water heating home</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheap_energy_wind.png</image:loc>
              <image:caption>wind energy home</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pressure_tank_stage2.png</image:loc>
              <image:caption>stage 2 of pressurized system</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pressure_tank_stage3.png</image:loc>
              <image:caption>stage 3 of pressurized system</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pressure_tank_stage1.png</image:loc>
              <image:caption>stage 1 of pressurized system</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheap_energy_solar_PV.png</image:loc>
              <image:caption>solar panels home</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/circuits-for-kids.html</loc>
            <lastmod>2017-06-19T02:57:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/circuits_kids_1.jpg</image:loc>
              <image:caption>picture of a circuit</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/circular-motion-problems.html</loc>
            <lastmod>2017-07-26T21:14:14.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/circular_motion_prob_2.png</image:loc>
              <image:caption>circular motion problems figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/circular_motion_prob_1.png</image:loc>
              <image:caption>circular motion problems figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/circular-motion.html</loc>
            <lastmod>2017-06-19T03:40:24.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/circular_motion_2.png</image:loc>
              <image:caption>circular motion equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/circular_motion_1.png</image:loc>
              <image:caption>circular motion of a particle</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/closer-look-at-velocity-and-acceleration.html</loc>
            <lastmod>2017-06-21T00:49:12.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_3.png</image:loc>
              <image:caption>velocity and acceleration relative to rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_6.png</image:loc>
              <image:caption>angular velocity and angular acceleration vector</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_8.png</image:loc>
              <image:caption>angular acceleration vector using differentiation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_2.png</image:loc>
              <image:caption>acceleration of point B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_1.png</image:loc>
              <image:caption>rigid body experiencing a general state of velocity and acceleration</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_5.png</image:loc>
              <image:caption>velocity of point B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_4.png</image:loc>
              <image:caption>specific case where point B is moving with the rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_7.png</image:loc>
              <image:caption>angular velocity and angular acceleration vector 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/closer_look_vel_acc_9.png</image:loc>
              <image:caption>angular acceleration vector taking calculus limit</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/college-physics.html</loc>
            <lastmod>2017-07-23T00:52:35.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/commercial-disclosure.html</loc>
            <lastmod>2025-06-09T21:21:45.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/conservation-of-energy.html</loc>
            <lastmod>2017-06-21T23:22:04.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_14.png</image:loc>
              <image:caption>Work done by gravitational force acting on rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_16.png</image:loc>
              <image:caption>Work done by elastic spring force acting on rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_15.png</image:loc>
              <image:caption>Spring force acting on rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_8.png</image:loc>
              <image:caption>Total work done on particle for conservation of energy 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_7.png</image:loc>
              <image:caption>Total work done on particle for conservation of energy 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_27.png</image:loc>
              <image:caption>Equation for conservation of energy for example problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_19.png</image:loc>
              <image:caption>Total work done on rigid body by gravity and spring force for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_1.png</image:loc>
              <image:caption>Gravitational force acting on particle for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_3.png</image:loc>
              <image:caption>Spring force acting on particle for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_12.png</image:loc>
              <image:caption>General equation for conservation of energy for a system of particles</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_21.png</image:loc>
              <image:caption>Total work done on rigid body for conservation of energy 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_17.png</image:loc>
              <image:caption>Total work done on rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_28.png</image:loc>
              <image:caption>Equation for initial kinetic energy for example problem involving conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_10.png</image:loc>
              <image:caption>Potential energy of gravity acting on particle for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_32.png</image:loc>
              <image:caption>Equation for conservation of energy for example problem 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_9.png</image:loc>
              <image:caption>General equation for conservation of energy for a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_4.png</image:loc>
              <image:caption>Work done by elastic spring force acting on particle for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_29.png</image:loc>
              <image:caption>Equation for final kinetic energy for example problem involving conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_23.png</image:loc>
              <image:caption>Potential energy of gravity acting on rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_22.png</image:loc>
              <image:caption>General equation for conservation of energy for a rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_20.png</image:loc>
              <image:caption>Total work done on rigid body for conservation of energy 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_25.png</image:loc>
              <image:caption>Schematic of example problem illustrating conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_26.png</image:loc>
              <image:caption>Initial height of center of mass in example problem illustrating conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_6.png</image:loc>
              <image:caption>Total work done on particle by gravity and spring force for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_2.png</image:loc>
              <image:caption>Work done by gravitational force acting on particle for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_33.png</image:loc>
              <image:caption>Solving for w2 in example problem using conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_13.png</image:loc>
              <image:caption>Gravitational force acting on rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_30.png</image:loc>
              <image:caption>Total initial gravitational and spring potential energy for example prob involving cons of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_31.png</image:loc>
              <image:caption>Total final gravitational and spring potential energy for example prob involving cons of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_24.png</image:loc>
              <image:caption>Potential energy of elastic spring acting on rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_11.png</image:loc>
              <image:caption>Potential energy of elastic spring acting on particle for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_18.png</image:loc>
              <image:caption>General kinetic energy equations at A and B for rigid body for conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_energy_5.png</image:loc>
              <image:caption>Total work done on particle for conservation of energy</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/conservation-of-momentum.html</loc>
            <lastmod>2017-07-23T17:20:11.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_15.png</image:loc>
              <image:caption>Ang mom equation for a rigid body experiencing general three dim motion for cons of ang mom 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_5.png</image:loc>
              <image:caption>Linear momentum equation for a system of particles for conservation of linear momentum 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_3.png</image:loc>
              <image:caption>External impulse term for a system of particles for conservation of linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_10.png</image:loc>
              <image:caption>External impulse term is zero for a rigid body experiencing planar motion for cons of ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_4.png</image:loc>
              <image:caption>External impulse term is zero for a system of particles for conservation of linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_11.png</image:loc>
              <image:caption>Angular momentum equation for a rigid body experiencing planar motion for cons of ang mom 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_6.png</image:loc>
              <image:caption>Linear momentum equation for a system of particles for conservation of linear momentum 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_13.png</image:loc>
              <image:caption>External impulse term for a rigid body experiencing general three dim motion for cons of ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_12.png</image:loc>
              <image:caption>Angular momentum equation for a rigid body experiencing general three dim motion for cons of ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_14.png</image:loc>
              <image:caption>Ext impulse term is zero for a rigid body experiencing general three dim motion for cons of ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_2.png</image:loc>
              <image:caption>Linear momentum equation for a system of particles for conservation of linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_1.png</image:loc>
              <image:caption>Schematic for a system of particles for conservation of linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_8.png</image:loc>
              <image:caption>Angular momentum equation for a rigid body experiencing planar motion for cons of ang mom</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_7.png</image:loc>
              <image:caption>Linear momentum equation for a system of particles for conservation of linear momentum 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservation_of_momentum_9.png</image:loc>
              <image:caption>External impulse term for a rigid body experiencing planar motion for cons of ang mom</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/conservative-force.html</loc>
            <lastmod>2017-06-22T01:23:51.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_24.png</image:loc>
              <image:caption>Example force field due to gravity which is a conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_20.png</image:loc>
              <image:caption>Express force components as gradient for conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_14.png</image:loc>
              <image:caption>Infinitesimal work done on particle for conservative force 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_10.png</image:loc>
              <image:caption>Infinitesimal work done on particle for conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_17.png</image:loc>
              <image:caption>Parametric equations for particle moving along curve as a function of time for conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_9.png</image:loc>
              <image:caption>Non conservative force of friction depends on path traveled</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_12.png</image:loc>
              <image:caption>Infinitesimal work done on particle for conservative force 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_2.png</image:loc>
              <image:caption>The work done by the conservative force of gravity acting on a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_21.png</image:loc>
              <image:caption>For cons force the total work done on particle from A to B is the difference of some potential func3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_3.png</image:loc>
              <image:caption>The conservative force of gravity acting on a rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_1.png</image:loc>
              <image:caption>The conservative force of gravity acting on a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_5.png</image:loc>
              <image:caption>The conservative spring force acting on a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_19.png</image:loc>
              <image:caption>For cons force the total work done on particle from A to B is the difference of some potential func2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_18.png</image:loc>
              <image:caption>Differentials dx dy dz for particle moving along curve as a function of time for conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_8.png</image:loc>
              <image:caption>The work done by the conservative spring force acting on a rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_7.png</image:loc>
              <image:caption>The conservative spring force acting on a rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_26.png</image:loc>
              <image:caption>Solving for potential function due to gravity which is a conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_13.png</image:loc>
              <image:caption>Express F and dr as vector components for work done by conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_15.png</image:loc>
              <image:caption>Total work done on particle from A to B for conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_4.png</image:loc>
              <image:caption>The work done by the conservative force of gravity acting on a rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_22.png</image:loc>
              <image:caption>For cons force the total work done on particle from A to B is the difference of some potential func4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_11.png</image:loc>
              <image:caption>Schematic for work done on particle for conservative force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_16.png</image:loc>
              <image:caption>For cons force the total work done on particle from A to B is the difference of some potential func</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_25.png</image:loc>
              <image:caption>Equating example force field due to gravity to gradient of potential function</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/conservative_force_6.png</image:loc>
              <image:caption>The work done by the conservative spring force acting on a particle</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/contact.html</loc>
            <lastmod>2023-04-11T17:43:53.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/email_pic_cons.png</image:loc>
              <image:caption>contact info</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/coriolis-force.html</loc>
            <lastmod>2017-07-23T17:24:09.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_6.png</image:loc>
              <image:caption>Tangential velocity at two consecutive instants to illustrate coriolis force 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_5.png</image:loc>
              <image:caption>Tangential velocity at two consecutive instants to illustrate coriolis force 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_9.png</image:loc>
              <image:caption>Schematic to illustrate coriolis and centrifugal and euler force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_3.png</image:loc>
              <image:caption>Coriolis force acting on particle due to coriolis acceleration</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_1.png</image:loc>
              <image:caption>Schematic to illustrate coriolis force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_4.png</image:loc>
              <image:caption>Tangential velocity at two consecutive instants to illustrate coriolis force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_8.png</image:loc>
              <image:caption>Schematic to illustrate coriolis force 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_7.png</image:loc>
              <image:caption>Schematic to illustrate coriolis force 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coriolis_force_2.png</image:loc>
              <image:caption>Coriolis acceleration term from curvilinear motion equations</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/curvilinear-motion.html</loc>
            <lastmod>2017-06-22T21:18:31.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_6.png</image:loc>
              <image:caption>Acceleration component of particle tangent to curve for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_5.png</image:loc>
              <image:caption>Magnitude of acceleration of particle in three dimensions for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_3.png</image:loc>
              <image:caption>Acceleration of a particle in three dimensions for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_4.png</image:loc>
              <image:caption>Magnitude of velocity of particle in three dimensions for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_7.png</image:loc>
              <image:caption>Acceleration component of particle normal to curve for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_22.png</image:loc>
              <image:caption>Example problem for rotating slotted link in polar coordinates for curvilinear motion 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_12.png</image:loc>
              <image:caption>Velocity of a particle in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_1.png</image:loc>
              <image:caption>Position of a particle in three dimensions for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_17.png</image:loc>
              <image:caption>Magnitude of acceleration of a particle in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_20.png</image:loc>
              <image:caption>Example problem for rotating slotted link in polar coordinates for curvilinear motion 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_8.png</image:loc>
              <image:caption>Normal and tangential acceleration components of particle for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_16.png</image:loc>
              <image:caption>Magnitude of velocity of a particle in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_11.png</image:loc>
              <image:caption>Position of a particle in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_19.png</image:loc>
              <image:caption>Example problem for rotating slotted link in polar coordinates for curvilinear motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_9.png</image:loc>
              <image:caption>Radius of curvature at any point on two dimensional curve for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_14.png</image:loc>
              <image:caption>Radial velocity and acceleration of a particle in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_21.png</image:loc>
              <image:caption>Example problem for rotating slotted link in polar coordinates for curvilinear motion 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_13.png</image:loc>
              <image:caption>Acceleration of a particle in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_10.png</image:loc>
              <image:caption>Motion in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_15.png</image:loc>
              <image:caption>Circumferential velocity and acceleration of a particle in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_18.png</image:loc>
              <image:caption>Example problem for rotating slotted link in polar coordinates for curvilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curvilinear_motion_2.png</image:loc>
              <image:caption>Velocity of a particle in three dimensions for curvilinear motion</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/density-problems.html</loc>
            <lastmod>2017-07-26T21:31:46.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/difference-between-momentum-and-kinetic-energy.html</loc>
            <lastmod>2017-06-23T22:11:08.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mom_kin_energy_schem.png</image:loc>
              <image:caption>momentum and kinetic energy schematic</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/diffraction-glasses.html</loc>
            <lastmod>2017-06-23T22:22:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diffraction_glasses.jpg</image:loc>
              <image:caption>picture of diffraction glasses</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/disclaimer.html</loc>
            <lastmod>2019-01-07T21:22:01.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/double-slit-experiment.html</loc>
            <lastmod>2017-06-24T17:10:50.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/drag-force.html</loc>
            <lastmod>2017-06-24T17:19:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/drag_force_2.png</image:loc>
              <image:caption>Diagram showing example of projected area used in drag force equation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/drag_force_1.png</image:loc>
              <image:caption>Drag force equation</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/drinking-bird.html</loc>
            <lastmod>2017-06-25T03:47:18.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/drinking_bird.jpg</image:loc>
              <image:caption>picture of drinking bird</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/dynamics.html</loc>
            <lastmod>2017-06-25T04:01:26.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/dynamo-torch.html</loc>
            <lastmod>2017-06-25T04:12:29.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/dynamo_torch.jpg</image:loc>
              <image:caption>picture of dynamo torch</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/egg-drop.html</loc>
            <lastmod>2017-06-26T18:21:37.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/egg_drop_idea.png</image:loc>
              <image:caption>egg drop project idea</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/elastic-collision.html</loc>
            <lastmod>2017-06-26T18:40:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_13.png</image:loc>
              <image:caption>Stage 3 of a theoretical impact for elastic collision 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_8.png</image:loc>
              <image:caption>Stage 2 of a theoretical impact for elastic collision 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_20.png</image:loc>
              <image:caption>Head on elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_19.png</image:loc>
              <image:caption>Conservation of kinetic energy for elastic collision 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_16.png</image:loc>
              <image:caption>Elastic collision between two particles</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_7.png</image:loc>
              <image:caption>Stage 2 of a theoretical impact for elastic collision 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_15.png</image:loc>
              <image:caption>Total kinetic energy before impact is equal to total kinetic energy after impact for elas collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_3.png</image:loc>
              <image:caption>Stage 1 of a theoretical impact for elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_11.png</image:loc>
              <image:caption>Stage 3 of a theoretical impact for elastic collision 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_17.png</image:loc>
              <image:caption>Conservation of linear momentum for elastic collision 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_6.png</image:loc>
              <image:caption>Stage 2 of a theoretical impact for elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_18.png</image:loc>
              <image:caption>Conservation of linear momentum for elastic collision along x y z</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_1.png</image:loc>
              <image:caption>Conservation of linear momentum for elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_5.png</image:loc>
              <image:caption>Stage 1 of a theoretical impact for elastic collision 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_2.png</image:loc>
              <image:caption>Conservation of kinetic energy for elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_12.png</image:loc>
              <image:caption>Stage 3 of a theoretical impact for elastic collision 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_14.png</image:loc>
              <image:caption>Total energy before impact is equal to total energy after impact for elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_4.png</image:loc>
              <image:caption>Stage 1 of a theoretical impact for elastic collision 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_10.png</image:loc>
              <image:caption>Stage 3 of a theoretical impact for elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/elastic_collision_9.png</image:loc>
              <image:caption>Stage 2 of a theoretical impact for elastic collision 4</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/energy-problems.html</loc>
            <lastmod>2017-07-26T22:03:00.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_prob_7.png</image:loc>
              <image:caption>energy problems figure 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_prob_5.png</image:loc>
              <image:caption>energy problems figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_prob_3.png</image:loc>
              <image:caption>energy problems figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_prob_1.png</image:loc>
              <image:caption>energy problems figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/engineering-mechanics-problems.html</loc>
            <lastmod>2021-03-05T03:43:59.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_a4.png</image:loc>
              <image:caption>eng mechanics example prob kin a4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e13.png</image:loc>
              <image:caption>eng mechanics example prob kin e13</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d4.png</image:loc>
              <image:caption>eng mechanics example prob kin d4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d3.png</image:loc>
              <image:caption>eng mechanics example prob kin d3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_c1.png</image:loc>
              <image:caption>eng mechanics example prob kin c1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_b1.png</image:loc>
              <image:caption>eng mechanics example prob kin b1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d6.png</image:loc>
              <image:caption>eng mechanics example prob kin d6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_b7.png</image:loc>
              <image:caption>eng mechanics example prob kin b7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_2.png</image:loc>
              <image:caption>eng mechanics example prob kin 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_a5.png</image:loc>
              <image:caption>eng mechanics example prob kin a5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_c5.png</image:loc>
              <image:caption>eng mechanics example prob kin c5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_b4.png</image:loc>
              <image:caption>eng mechanics example prob kin b4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_b3.png</image:loc>
              <image:caption>eng mechanics example prob kin b3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_b2.png</image:loc>
              <image:caption>eng mechanics example prob kin b2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d2.png</image:loc>
              <image:caption>eng mechanics example prob kin d2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_5.png</image:loc>
              <image:caption>eng mechanics example prob kin 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e10.png</image:loc>
              <image:caption>eng mechanics example prob kin e10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d8.png</image:loc>
              <image:caption>eng mechanics example prob kin d8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_c2.png</image:loc>
              <image:caption>eng mechanics example prob kin c2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e12.png</image:loc>
              <image:caption>eng mechanics example prob kin e12</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e5.png</image:loc>
              <image:caption>eng mechanics example prob kin e5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_1.png</image:loc>
              <image:caption>eng mechanics example prob kin 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e2.png</image:loc>
              <image:caption>eng mechanics example prob kin e2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_c6.png</image:loc>
              <image:caption>eng mechanics example prob kin c6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e4.png</image:loc>
              <image:caption>eng mechanics example prob kin e4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_a1.png</image:loc>
              <image:caption>eng mechanics example prob kin a1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_a7.png</image:loc>
              <image:caption>eng mechanics example prob kin a7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_a2.png</image:loc>
              <image:caption>eng mechanics example prob kin a2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e6.png</image:loc>
              <image:caption>eng mechanics example prob kin e6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_9.png</image:loc>
              <image:caption>eng mechanics example prob kin 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e15.png</image:loc>
              <image:caption>eng mechanics example prob kin e15</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_b5.png</image:loc>
              <image:caption>eng mechanics example prob kin b5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e7.png</image:loc>
              <image:caption>eng mechanics example prob kin e7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d7.png</image:loc>
              <image:caption>eng mechanics example prob kin d7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e16.png</image:loc>
              <image:caption>eng mechanics example prob kin e16</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_a3.png</image:loc>
              <image:caption>eng mechanics example prob kin a3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d1.png</image:loc>
              <image:caption>eng mechanics example prob kin d1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e14.png</image:loc>
              <image:caption>eng mechanics example prob kin e14</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_c4.png</image:loc>
              <image:caption>eng mechanics example prob kin c4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e8.png</image:loc>
              <image:caption>eng mechanics example prob kin e8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e1.png</image:loc>
              <image:caption>eng mechanics example prob kin e1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_d5.png</image:loc>
              <image:caption>eng mechanics example prob kin d5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_4.png</image:loc>
              <image:caption>eng mechanics example prob kin 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_3.png</image:loc>
              <image:caption>eng mechanics example prob kin 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e3.png</image:loc>
              <image:caption>eng mechanics example prob kin e3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e11.png</image:loc>
              <image:caption>eng mechanics example prob kin e11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_e9.png</image:loc>
              <image:caption>eng mechanics example prob kin e9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_b6.png</image:loc>
              <image:caption>eng mechanics example prob kin b6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_c3.png</image:loc>
              <image:caption>eng mechanics example prob kin c3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_8.png</image:loc>
              <image:caption>eng mechanics example prob kin 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eng_mechanics_example_prob_kin_a6.png</image:loc>
              <image:caption>eng mechanics example prob kin a6</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/engineering.html</loc>
            <lastmod>2022-06-12T19:27:42.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/equations-of-motion.html</loc>
            <lastmod>2017-07-26T21:38:44.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_6.png</image:loc>
              <image:caption>Newtons second law for equations of motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_7.png</image:loc>
              <image:caption>Newtons second law for equations of motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_2.png</image:loc>
              <image:caption>Correct sign convention for applying equations of motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_17.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_14.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_1.png</image:loc>
              <image:caption>Correct sign convention for applying equations of motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_4.png</image:loc>
              <image:caption>Correct sign convention for applying equations of motion 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_13.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_9.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_12.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_21.png</image:loc>
              <image:caption>Example of kinematic relationship illustrating sign convention for equations of motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_5.png</image:loc>
              <image:caption>Incorrect sign convention for applying equations of motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_16.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_3.png</image:loc>
              <image:caption>Correct sign convention for applying equations of motion 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_11.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_8.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_15.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_23.png</image:loc>
              <image:caption>Equations of motion for a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_10.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_20.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 13</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_19.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 12</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_22.png</image:loc>
              <image:caption>Example of kinematic relationship illustrating sign convention for equations of motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equations_of_motion_18.png</image:loc>
              <image:caption>Spring mass system illustrating sign convention for equations of motion 11</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/equilibrium.html</loc>
            <lastmod>2017-07-26T21:46:28.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_8.png</image:loc>
              <image:caption>Acceleration is zero and therefore sum of forces is zero for a rigid body in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_4.png</image:loc>
              <image:caption>Force components sum to zero along XYZ for a particle in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_10.png</image:loc>
              <image:caption>Force components sum to zero along XYZ for a rigid body in equilibrium 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_11.png</image:loc>
              <image:caption>Sum of moments is zero for a rigid body in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_3.png</image:loc>
              <image:caption>Acceleration is zero and therefore sum of forces is zero for a particle in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_1.png</image:loc>
              <image:caption>Forces acting on a particle in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_7.png</image:loc>
              <image:caption>Newtons second law for a rigid body in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_13.png</image:loc>
              <image:caption>Vector sum of moments expressed as its components for a rigid body in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_5.png</image:loc>
              <image:caption>Force components sum to zero along XYZ for a particle in equilibrium 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_2.png</image:loc>
              <image:caption>Newtons second law for a particle in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_12.png</image:loc>
              <image:caption>Vector sum of moments for a rigid body in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_9.png</image:loc>
              <image:caption>Force components sum to zero along XYZ for a rigid body in equilibrium</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/equilibrium_6.png</image:loc>
              <image:caption>Forces acting on a rigid body in equilibrium</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/euler-equations.html</loc>
            <lastmod>2017-07-26T21:52:49.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_20.png</image:loc>
              <image:caption>Sum of moments about G expressed as vector components in derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_12.png</image:loc>
              <image:caption>Position vector relative to local xyz for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_18.png</image:loc>
              <image:caption>Final moment equations about G over entire rigid body in derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_10.png</image:loc>
              <image:caption>General motion equation for small mass element for derivation of Euler equations 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_11.png</image:loc>
              <image:caption>Sum of moments about G for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_17.png</image:loc>
              <image:caption>Sum of moments about G over entire rigid body for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_13.png</image:loc>
              <image:caption>Acceleration vector of G relative to local xyz for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_24.png</image:loc>
              <image:caption>The final Euler equations for general rigid body motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_16.png</image:loc>
              <image:caption>Sum of moments about G for derivation of Euler equations 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_15.png</image:loc>
              <image:caption>Angular acceleration vector of rigid body relative to local xyz for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_9.png</image:loc>
              <image:caption>Relative velocity and acceleration for small mass element is zero in derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_26.png</image:loc>
              <image:caption>Example of incorrect sign convention when using the Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_22.png</image:loc>
              <image:caption>The inertia terms for the Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_5.png</image:loc>
              <image:caption>Newtons second law for small mass element for derivation of Euler equations 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_23.png</image:loc>
              <image:caption>The inertia terms aligned with principal directions for the Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_2.png</image:loc>
              <image:caption>Schematic for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_25.png</image:loc>
              <image:caption>Schematic of rigid body with a point O fixed to ground for Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_21.png</image:loc>
              <image:caption>Angular acceleration vector is derivative of angular velocity vector in Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_19.png</image:loc>
              <image:caption>Sum of moments about G at location of individual forces in derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_4.png</image:loc>
              <image:caption>Vector sum of external and internal forces for small mass element for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_6.png</image:loc>
              <image:caption>Take cross-product of above equation for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_8.png</image:loc>
              <image:caption>General motion equation for small mass element for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_7.png</image:loc>
              <image:caption>Left side of equation is sum of moments about G in derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_3.png</image:loc>
              <image:caption>Newtons second law for small mass element for derivation of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_1.png</image:loc>
              <image:caption>General vector equation illustrating sign convention for use of Euler equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_equations_14.png</image:loc>
              <image:caption>Angular velocity vector of rigid body relative to local xyz for derivation of Euler equations</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/euler-force.html</loc>
            <lastmod>2017-07-01T01:56:37.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_force_4.png</image:loc>
              <image:caption>Schematic illustrating Euler force 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_force_1.png</image:loc>
              <image:caption>Schematic illustrating Euler force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_force_5.png</image:loc>
              <image:caption>Insufficient circumferential friction will also result in Euler force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_force_3.png</image:loc>
              <image:caption>Newtons second law applied to particle for Euler force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/euler_force_2.png</image:loc>
              <image:caption>Tangential acceleration of particle for Euler force</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/eulers-disk-toy.html</loc>
            <lastmod>2017-07-01T02:10:52.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk.jpg</image:loc>
              <image:caption>picture of eulers disk</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/eulers-disk.html</loc>
            <lastmod>2017-07-01T02:32:26.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_11.png</image:loc>
              <image:caption>Equation for rolling without slipping at point A on Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_17.png</image:loc>
              <image:caption>Angular acceleration of Eulers disk resolved onto xyz</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_12.png</image:loc>
              <image:caption>Equation for relating ws and wp on Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_5.png</image:loc>
              <image:caption>Angular acceleration of Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_3.png</image:loc>
              <image:caption>Detailed schematic of Eulers disk 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_19.png</image:loc>
              <image:caption>Symmetric moment of inertia of Eulers disk about x z</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_22.png</image:loc>
              <image:caption>Moment equation about x for Eulers disk 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_16.png</image:loc>
              <image:caption>Angular velocity of Eulers disk resolved onto xyz</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_15.png</image:loc>
              <image:caption>Moment equations for Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_20.png</image:loc>
              <image:caption>Moment of inertia of Eulers disk about y</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_4.png</image:loc>
              <image:caption>Angular velocity of Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_10.png</image:loc>
              <image:caption>Distance between point C and point A on Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_2.png</image:loc>
              <image:caption>Detailed schematic of Eulers disk 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_9.png</image:loc>
              <image:caption>Relative velocity at contact point A on Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_24.png</image:loc>
              <image:caption>Final equation for Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_23.png</image:loc>
              <image:caption>Moment equation about x for Eulers disk 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_21.png</image:loc>
              <image:caption>Moment equation about x for Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_6.png</image:loc>
              <image:caption>Angular acceleration of Eulers disk 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_8.png</image:loc>
              <image:caption>Angular acceleration of Eulers disk 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_13.png</image:loc>
              <image:caption>Equation for relating ws and wp on Eulers disk when rc is 0</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_18.png</image:loc>
              <image:caption>Moment equation for Eulers disk 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_1.png</image:loc>
              <image:caption>Detailed schematic of Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_14.png</image:loc>
              <image:caption>Newtons second law for Eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_physics_7.png</image:loc>
              <image:caption>Angular acceleration of Eulers disk 3</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/example-mechanics-problems.html</loc>
            <lastmod>2021-03-05T03:40:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_l1.png</image:loc>
              <image:caption>mechanics example prob dyn l1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_s3.png</image:loc>
              <image:caption>mechanics example prob dyn s3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_l2.png</image:loc>
              <image:caption>mechanics example prob dyn l2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_p5.png</image:loc>
              <image:caption>mechanics example prob dyn p5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_o2.png</image:loc>
              <image:caption>mechanics example prob dyn o2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_t9.png</image:loc>
              <image:caption>mechanics example prob dyn t9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h11.png</image:loc>
              <image:caption>mechanics example prob kin h11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_r1.png</image:loc>
              <image:caption>mechanics example prob dyn r1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_o1.png</image:loc>
              <image:caption>mechanics example prob dyn o1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h8.png</image:loc>
              <image:caption>mechanics example prob kin h8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_m1.png</image:loc>
              <image:caption>mechanics example prob dyn m1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_t11.png</image:loc>
              <image:caption>mechanics example prob dyn t11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_t6.png</image:loc>
              <image:caption>mechanics example prob dyn t6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_r2.png</image:loc>
              <image:caption>mechanics example prob dyn r2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_r3.png</image:loc>
              <image:caption>mechanics example prob dyn r3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h3.png</image:loc>
              <image:caption>mechanics example prob kin h3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h6.png</image:loc>
              <image:caption>mechanics example prob kin h6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_s2.png</image:loc>
              <image:caption>mechanics example prob dyn s2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n8.png</image:loc>
              <image:caption>mechanics example prob dyn n8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_p3.png</image:loc>
              <image:caption>mechanics example prob dyn p3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h2.png</image:loc>
              <image:caption>mechanics example prob kin h2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_m3.png</image:loc>
              <image:caption>mechanics example prob dyn m3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_p1.png</image:loc>
              <image:caption>mechanics example prob dyn p1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_k1.png</image:loc>
              <image:caption>mechanics example prob kin k1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_l8.png</image:loc>
              <image:caption>mechanics example prob dyn l8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_o6.png</image:loc>
              <image:caption>mechanics example prob dyn o6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n2.png</image:loc>
              <image:caption>mechanics example prob dyn n2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n7.png</image:loc>
              <image:caption>mechanics example prob dyn n7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_s7.png</image:loc>
              <image:caption>mechanics example prob dyn s7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_r4.png</image:loc>
              <image:caption>mechanics example prob dyn r4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h4.png</image:loc>
              <image:caption>mechanics example prob kin h4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n5.png</image:loc>
              <image:caption>mechanics example prob dyn n5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_a3.png</image:loc>
              <image:caption>mechanics example prob kin a3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_p6.png</image:loc>
              <image:caption>mechanics example prob dyn p6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_o5.png</image:loc>
              <image:caption>mechanics example prob dyn o5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_q2.png</image:loc>
              <image:caption>mechanics example prob dyn q2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_i6.png</image:loc>
              <image:caption>mechanics example prob kin i6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_p2.png</image:loc>
              <image:caption>mechanics example prob dyn p2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_a2.png</image:loc>
              <image:caption>mechanics example prob kin a2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h10.png</image:loc>
              <image:caption>mechanics example prob kin h10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_o7.png</image:loc>
              <image:caption>mechanics example prob dyn o7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_q6.png</image:loc>
              <image:caption>mechanics example prob dyn q6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_u1.png</image:loc>
              <image:caption>mechanics example prob dyn u1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_o3.png</image:loc>
              <image:caption>mechanics example prob dyn o3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n9.png</image:loc>
              <image:caption>mechanics example prob dyn n9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_u2.png</image:loc>
              <image:caption>mechanics example prob dyn u2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h5.png</image:loc>
              <image:caption>mechanics example prob kin h5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_l4.png</image:loc>
              <image:caption>mechanics example prob dyn l4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_m6.png</image:loc>
              <image:caption>mechanics example prob dyn m6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_s1.png</image:loc>
              <image:caption>mechanics example prob dyn s1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_u4.png</image:loc>
              <image:caption>mechanics example prob dyn u4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_d3.png</image:loc>
              <image:caption>mechanics example prob kin d3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_u5.png</image:loc>
              <image:caption>mechanics example prob dyn u5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_b6.png</image:loc>
              <image:caption>mechanics example prob kin b6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_p4.png</image:loc>
              <image:caption>mechanics example prob dyn p4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n4.png</image:loc>
              <image:caption>mechanics example prob dyn n4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_b3.png</image:loc>
              <image:caption>mechanics example prob kin b3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_q1.png</image:loc>
              <image:caption>mechanics example prob dyn q1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h1.png</image:loc>
              <image:caption>mechanics example prob kin h1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_t10.png</image:loc>
              <image:caption>mechanics example prob dyn t10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_q5.png</image:loc>
              <image:caption>mechanics example prob dyn q5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_o4.png</image:loc>
              <image:caption>mechanics example prob dyn o4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n6.png</image:loc>
              <image:caption>mechanics example prob dyn n6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_u3.png</image:loc>
              <image:caption>mechanics example prob dyn u3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_t1.png</image:loc>
              <image:caption>mechanics example prob dyn t1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_m7.png</image:loc>
              <image:caption>mechanics example prob dyn m7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_m5.png</image:loc>
              <image:caption>mechanics example prob dyn m5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_q4.png</image:loc>
              <image:caption>mechanics example prob dyn q4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_d4.png</image:loc>
              <image:caption>mechanics example prob kin d4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n3.png</image:loc>
              <image:caption>mechanics example prob dyn n3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_m4.png</image:loc>
              <image:caption>mechanics example prob dyn m4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_l5.png</image:loc>
              <image:caption>mechanics example prob dyn l5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_s6.png</image:loc>
              <image:caption>mechanics example prob dyn s6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_m2.png</image:loc>
              <image:caption>mechanics example prob dyn m2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_r5.png</image:loc>
              <image:caption>mechanics example prob dyn r5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_n1.png</image:loc>
              <image:caption>mechanics example prob dyn n1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_kin_h9.png</image:loc>
              <image:caption>mechanics example prob kin h9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_q3.png</image:loc>
              <image:caption>mechanics example prob dyn q3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_example_prob_dyn_q7.png</image:loc>
              <image:caption>mechanics example prob dyn q7</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/fermi-paradox.html</loc>
            <lastmod>2019-10-28T04:17:14.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/fermi_paradox_distant_universe_pic.jpg</image:loc>
              <image:caption>magnified distant universe picture</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/ferris-wheel-physics.html</loc>
            <lastmod>2017-07-23T17:53:22.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ferris_wheel_5.png</image:loc>
              <image:caption>general force equation of ferris wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ferris_wheel_1.jpg</image:loc>
              <image:caption>ferris wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ferris_wheel_6.png</image:loc>
              <image:caption>specific force equation of ferris wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ferris_wheel_3.png</image:loc>
              <image:caption>free body diagram of ferris wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ferris_wheel_2.png</image:loc>
              <image:caption>schematic of ferris wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ferris_wheel_4.png</image:loc>
              <image:caption>centripetal acceleration ferris wheel</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/fly-stick.html</loc>
            <lastmod>2017-07-02T23:40:26.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/fly_stick.jpg</image:loc>
              <image:caption>picture of fly stick</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/force-problems.html</loc>
            <lastmod>2017-07-23T18:07:03.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_1.png</image:loc>
              <image:caption>force problems figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_9.png</image:loc>
              <image:caption>force problems figure 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_5.png</image:loc>
              <image:caption>force problems figure 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_8.png</image:loc>
              <image:caption>force problems figure 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_2.png</image:loc>
              <image:caption>force problems figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_4.png</image:loc>
              <image:caption>force problems figure 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_10.png</image:loc>
              <image:caption>force problems figure 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_3.png</image:loc>
              <image:caption>force problems figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_6.png</image:loc>
              <image:caption>force problems figure 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/force_prob_7.png</image:loc>
              <image:caption>force problems figure 7</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/forces.html</loc>
            <lastmod>2017-07-23T18:12:54.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_8b.png</image:loc>
              <image:caption>Schematic of forces due to man sitting on crate 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_9b.png</image:loc>
              <image:caption>Resultant gravity force acts through center of mass of body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_3b.png</image:loc>
              <image:caption>Schematic of forces due to man sitting on crate 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_2b.png</image:loc>
              <image:caption>Schematic of forces due to man sitting on crate</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_1b.png</image:loc>
              <image:caption>Schematic of forces acting on a body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_6b.png</image:loc>
              <image:caption>Integrate pressure over the bottom of crate to find resultant force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_5b.png</image:loc>
              <image:caption>Schematic of forces due to man sitting on crate 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_4b.png</image:loc>
              <image:caption>Schematic of forces due to man sitting on crate 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_7b.png</image:loc>
              <image:caption>Formula to find centroid of pressure distribution over the bottom of crate</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/free-body-diagram.html</loc>
            <lastmod>2017-07-03T16:47:07.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/free_body_diagram_1.png</image:loc>
              <image:caption>Bodies in contact illustrating the free body diagram</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/free_body_diagram_2.png</image:loc>
              <image:caption>Bodies in contact illustrating the free body diagram 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/free-fall-problems.html</loc>
            <lastmod>2018-04-15T17:55:51.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/free_fall_prob_1.png</image:loc>
              <image:caption>free fall problem figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/free_fall_prob_2.png</image:loc>
              <image:caption>free fall problem figure 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/friction-problems.html</loc>
            <lastmod>2017-07-26T22:12:05.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_prob_6.png</image:loc>
              <image:caption>friction problems figure 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_prob_3.png</image:loc>
              <image:caption>friction problems figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_prob_5.png</image:loc>
              <image:caption>friction problems figure 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_prob_8.png</image:loc>
              <image:caption>friction problems figure 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_prob_4.png</image:loc>
              <image:caption>friction problems figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_prob_1.png</image:loc>
              <image:caption>friction problems figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/friction.html</loc>
            <lastmod>2024-03-14T19:59:50.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_1.png</image:loc>
              <image:caption>kinetic friction</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/friction_2.png</image:loc>
              <image:caption>static friction</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/galileo-thermometer.html</loc>
            <lastmod>2017-07-04T18:06:16.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/galileo_thermometer.jpg</image:loc>
              <image:caption>picture of galileo thermometer</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/gamma-ray-burst.html</loc>
            <lastmod>2017-07-04T18:16:02.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gamma_ray_burst.jpg</image:loc>
              <image:caption>gamma ray burst</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/general-motion.html</loc>
            <lastmod>2017-07-04T18:41:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_19.png</image:loc>
              <image:caption>Derivative of relative velocity vector for general motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_20.png</image:loc>
              <image:caption>Relative acceleration vector for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_16.png</image:loc>
              <image:caption>Derivative of relative velocity vector for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_13.png</image:loc>
              <image:caption>Differentiated vector equation for r vector on rigid body for general motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_17.png</image:loc>
              <image:caption>Relative acceleration components for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_4.png</image:loc>
              <image:caption>Equation for velocity of point B on rigid body for general motion if point A is stationary</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_9.png</image:loc>
              <image:caption>Vector equation giving r vector on rigid body for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_15.png</image:loc>
              <image:caption>Relative velocity vector for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_8.png</image:loc>
              <image:caption>Vector equation giving position of point B on rigid body for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_2.png</image:loc>
              <image:caption>Schematic showing relative motion of point B on rigid body for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_10.png</image:loc>
              <image:caption>Differentiated vector equation for r vector on rigid body for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_3.png</image:loc>
              <image:caption>Schematic showing velocity of point B on rigid body for general motion if point A is stationary</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_23.png</image:loc>
              <image:caption>Angular acceleration for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_22.png</image:loc>
              <image:caption>Final acceleration equation for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_11.png</image:loc>
              <image:caption>Derivative of rB with respect to time is vB for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_18.png</image:loc>
              <image:caption>Change of direction component of relative velocity derivative for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_21.png</image:loc>
              <image:caption>Derivative of relative velocity vector for general motion 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_7.png</image:loc>
              <image:caption>Equation for acceleration of point B on rigid body for general motion if point A is moving</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_6.png</image:loc>
              <image:caption>Equation for velocity of point B on rigid body for general motion if point A is moving</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_14.png</image:loc>
              <image:caption>Differentiated vector equation for r vector on rigid body for general motion 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_1.png</image:loc>
              <image:caption>Schematic showing general motion for a rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_25.png</image:loc>
              <image:caption>Example of wrong sign convention for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_12.png</image:loc>
              <image:caption>Derivative of rA with respect to time is vA for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_24.png</image:loc>
              <image:caption>Final acceleration equation for general motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/general_motion_5.png</image:loc>
              <image:caption>Equation for velocity of point B on rigid body for general motion if point A is stationary 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/geothermal-energy-for-kids.html</loc>
            <lastmod>2017-07-05T04:18:53.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/geothermal_kids_plant.jpg</image:loc>
              <image:caption>geothermal power generating station picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/geothermal_kids.png</image:loc>
              <image:caption>geothermal energy figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/gps-physics.html</loc>
            <lastmod>2017-07-26T21:55:59.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gps_physics1.png</image:loc>
              <image:caption>gps satellite and earth clock 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gps_physics2.png</image:loc>
              <image:caption>gps satellite and earth clock 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/gyro-ring.html</loc>
            <lastmod>2017-07-05T04:37:37.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_ring.jpg</image:loc>
              <image:caption>picture of gyro ring</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/gyro-top.html</loc>
            <lastmod>2018-01-22T21:27:20.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_18.png</image:loc>
              <image:caption>Acceleration of point A on gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_16.png</image:loc>
              <image:caption>Velocity of point A on gyro top wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_14.png</image:loc>
              <image:caption>Angular velocity of gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_21.png</image:loc>
              <image:caption>Relative velocity and acceleration is zero for point o on the gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_22.png</image:loc>
              <image:caption>Acceleration of fixed point P is zero on the gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_9.png</image:loc>
              <image:caption>Relative velocity is zero for point A on gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_11.png</image:loc>
              <image:caption>Relative velocity is zero for point o on the gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_27.png</image:loc>
              <image:caption>Acceleration of point A on gyro top wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_6.png</image:loc>
              <image:caption>Angular velocity of gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_7.png</image:loc>
              <image:caption>Angular acceleration of gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_20.png</image:loc>
              <image:caption>Acceleration of point o on gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_13.png</image:loc>
              <image:caption>Final velocity of point o on the gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_1.png</image:loc>
              <image:caption>Schematic of gyro top</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_3.png</image:loc>
              <image:caption>Angular acceleration of ws for gyro top 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_25.png</image:loc>
              <image:caption>Angular acceleration of gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_10.png</image:loc>
              <image:caption>Velocity of point o on gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_29.png</image:loc>
              <image:caption>Vector cross product formula for gyro top velocity and acceleration calculation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_23.png</image:loc>
              <image:caption>Final acceleration of point o on the gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_15.png</image:loc>
              <image:caption>Position vector from point P to point o on gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_17.png</image:loc>
              <image:caption>Position vector from point o to point A</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_8.png</image:loc>
              <image:caption>Velocity of point A on gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_19.png</image:loc>
              <image:caption>Relative velocity and acceleration 
&lt;br&gt;
&lt;br&gt;
is zero for point A on gyro top wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_4.png</image:loc>
              <image:caption>Angular acceleration of wn for gyro top</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_5.png</image:loc>
              <image:caption>Angular acceleration of wp for gyro top</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_12.png</image:loc>
              <image:caption>Velocity of fixed point P is zero on the gyro top rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_top_2.png</image:loc>
              <image:caption>Angular acceleration of ws for gyro top</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/gyroscope-physics.html</loc>
            <lastmod>2017-07-23T18:34:49.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_77.png</image:loc>
              <image:caption>equation for wp in terms of ws for axisymmetric gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_12.png</image:loc>
              <image:caption>Newtons second law for the gyroscope wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_30.png</image:loc>
              <image:caption>Symmetric moment of inertia of the gyroscope rod about x z</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_55.png</image:loc>
              <image:caption>final equations for general gyroscope motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_45.png</image:loc>
              <image:caption>newtons second law for gyroscope wheel for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_59.png</image:loc>
              <image:caption>rewriting equation 6 for general gyroscope motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_20.png</image:loc>
              <image:caption>Moment equations for the gyroscope wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_53.png</image:loc>
              <image:caption>inertia terms for gyroscope rod for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_74.png</image:loc>
              <image:caption>equating i j k components of gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/3d_gyroscope.png</image:loc>
              <image:caption>gyroscope-gimbal unit</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_38.png</image:loc>
              <image:caption>gyroscope wheel spinning in space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_65.png</image:loc>
              <image:caption>final equation for wn for general gyroscope motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_32.png</image:loc>
              <image:caption>Final moment equation for gyroscope rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_58.png</image:loc>
              <image:caption>rewriting equation 6 for general gyroscope motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_76.png</image:loc>
              <image:caption>solving for wp and ws for gyroscope wheel in terms of angular momentum HG</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_3.png</image:loc>
              <image:caption>detailed schematic of gyroscope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_37.png</image:loc>
              <image:caption>impulse and angular momentum equation from ang momentum page</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_1.png</image:loc>
              <image:caption>gyroscope schematic</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_62.png</image:loc>
              <image:caption>equations for wp and ws for general gyroscope motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_36.png</image:loc>
              <image:caption>more general final equation for gyroscope but for simpler case</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_15.png</image:loc>
              <image:caption>Newtons second law for the gyroscope wheel 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_23.png</image:loc>
              <image:caption>Final moment equation for gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_52.png</image:loc>
              <image:caption>resolved angular vel and acc for gyroscope rod for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_43.png</image:loc>
              <image:caption>acceleration of G of wheel from gyro top page</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_16.png</image:loc>
              <image:caption>Newtons second law for the gyroscope wheel 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_24.png</image:loc>
              <image:caption>free body diagram of the gyroscope rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_63.png</image:loc>
              <image:caption>solving for c1 and c2 for general gyroscope motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_60.png</image:loc>
              <image:caption>rewriting equation 7 for general gyroscope motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_48.png</image:loc>
              <image:caption>resolved angular acceleration for gyroscope wheel for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_73.png</image:loc>
              <image:caption>angular momentum vector along x y z for gyroscope wheel 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_57.png</image:loc>
              <image:caption>sign convention from gyro top page</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_34.png</image:loc>
              <image:caption>more general final equation for gyroscope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_64.png</image:loc>
              <image:caption>equation for nutation angular acc for general gyroscope motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_41.png</image:loc>
              <image:caption>angular velocity of wheel from gyro top page</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_19.png</image:loc>
              <image:caption>angular acceleration of gyroscope wheel resolved onto xyz</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_8.png</image:loc>
              <image:caption>angular acceleration of the gyroscope wheel 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_49.png</image:loc>
              <image:caption>equating inertia terms for gyroscope wheel for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_42.png</image:loc>
              <image:caption>angular acceleration of wheel from gyro top page</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_27.png</image:loc>
              <image:caption>angular velocity of gyroscope rod resolved onto xyz</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_50.png</image:loc>
              <image:caption>euler equations of motion for gyroscope wheel for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_71.png</image:loc>
              <image:caption>differentiated dot product equation relating H and ws 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_72.png</image:loc>
              <image:caption>angular momentum vector along x y z for gyroscope wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_5.png</image:loc>
              <image:caption>angular acceleration of the gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_22.png</image:loc>
              <image:caption>Moment of inertia of the gyroscope wheel about y</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_68.png</image:loc>
              <image:caption>vector derivative for gyroscope wheel j vector</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_61.png</image:loc>
              <image:caption>rewriting equation 7 for general gyroscope motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_75.png</image:loc>
              <image:caption>equating i j k components of gyroscope wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_11.png</image:loc>
              <image:caption>Newtons second law for the gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_70.png</image:loc>
              <image:caption>angular momentum vector along x y z for gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_10.png</image:loc>
              <image:caption>free body diagram of the gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_56.png</image:loc>
              <image:caption>final equations for general gyroscope motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_25.png</image:loc>
              <image:caption>angular velocity of the gyroscope rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_9.png</image:loc>
              <image:caption>angular acceleration of the gyroscope wheel 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_47.png</image:loc>
              <image:caption>resolved angular velocity for gyroscope wheel for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_66.png</image:loc>
              <image:caption>differentiated dot product equation relating H and ws</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_44.png</image:loc>
              <image:caption>reused schematic of gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_51.png</image:loc>
              <image:caption>schematic of gyroscope rod for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_46.png</image:loc>
              <image:caption>newtons second law for gyroscope wheel for general motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_39.png</image:loc>
              <image:caption>gyroscope wheel spinning in space 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_17.png</image:loc>
              <image:caption>Moment equations for the gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_31.png</image:loc>
              <image:caption>Moment of inertia of the gyroscope rod about y</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_14.png</image:loc>
              <image:caption>Newtons second law for the gyroscope wheel 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_35.png</image:loc>
              <image:caption>general inertia terms for final gyroscope equation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_4.png</image:loc>
              <image:caption>angular velocity of the gyroscope wheel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_67.png</image:loc>
              <image:caption>differentiated dot product equation relating H and ws 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_54.png</image:loc>
              <image:caption>euler equations for gyroscope rod for general motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_33.png</image:loc>
              <image:caption>Final equation for gyroscope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_28.png</image:loc>
              <image:caption>angular acceleration of gyroscope rod resolved onto xyz</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_2.png</image:loc>
              <image:caption>acceleration of gyroscope particles and Newtons second law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_40.png</image:loc>
              <image:caption>dot product equation relating H and ws</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_13.png</image:loc>
              <image:caption>Newtons second law for the gyroscope wheel 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_26.png</image:loc>
              <image:caption>Moment equations for the gyroscope rod</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_18.png</image:loc>
              <image:caption>angular velocity of gyroscope wheel resolved onto xyz</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_7.png</image:loc>
              <image:caption>angular acceleration of the gyroscope wheel 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_29.png</image:loc>
              <image:caption>Moment equations for the gyroscope rod 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_21.png</image:loc>
              <image:caption>Symmetric moment of inertia of the gyroscope wheel about x z</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_6.png</image:loc>
              <image:caption>angular acceleration of the gyroscope wheel 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_physics_69.png</image:loc>
              <image:caption>angular velocity vector along x y z for gyroscope wheel</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/hand-boiler.html</loc>
            <lastmod>2017-07-06T22:22:13.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hand_boiler.jpg</image:loc>
              <image:caption>picture of hand boiler</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/heat-exchanger.html</loc>
            <lastmod>2017-08-09T03:31:13.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cross_flow_circular_fins.png</image:loc>
              <image:caption>cross flow with circular fins</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/shell_and_tube_2.png</image:loc>
              <image:caption>two shell passes and four tube passes</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eqn_for_tube_flow_amb.png</image:loc>
              <image:caption>temperature equation for tube flow with constant external temp</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tot_q_for_paral_exch.png</image:loc>
              <image:caption>total heat transfer rate for parallel flow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_parallel_flow_exch_4.png</image:loc>
              <image:caption>energy balance for parallel flow heat exchanger 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/corr_u_value_fins_foul.png</image:loc>
              <image:caption>corrected u value for fins and fouling</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tube_flow_unfinned.png</image:loc>
              <image:caption>flow through unfinned tube</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_parallel_flow_exch.png</image:loc>
              <image:caption>energy balance for parallel flow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_parallel_flow_exch_5.png</image:loc>
              <image:caption>energy balance for parallel flow heat exchanger 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/parallel_flow_exch_sch.png</image:loc>
              <image:caption>schematic for parallel flow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_pin_fin.png</image:loc>
              <image:caption>energy balance for the pin fin</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_rate_no_fin.png</image:loc>
              <image:caption>heat rate from base with no fin</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/radiator_for_automobile_edit.jpg</image:loc>
              <image:caption>automobile radiator picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_law_cooling.png</image:loc>
              <image:caption>newtons law of cooling</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/fouriers_law.png</image:loc>
              <image:caption>fouriers law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_pin_fin_7.png</image:loc>
              <image:caption>final differential equation for 1 d heat flow through pin fin 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_flow_diff_strip.png</image:loc>
              <image:caption>heat flow through diff strip</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_parallel_flow_exch_3.png</image:loc>
              <image:caption>energy balance for parallel flow heat exchanger 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/shell_and_tube_1.png</image:loc>
              <image:caption>one shell pass and two tube passes</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cross_flow_no_fins.png</image:loc>
              <image:caption>cross flow with no fins</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/counter_flow_heat_exch.png</image:loc>
              <image:caption>counterflow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/finned_tube_pic.png</image:loc>
              <image:caption>finned tube figure</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_rate_ratio_2.png</image:loc>
              <image:caption>heat rate ratio between fin and no fin 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diy_ac_inside_sticks.jpg</image:loc>
              <image:caption>homemade ac picture 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diy_ac1.jpg</image:loc>
              <image:caption>homemade ac picture 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/final_eqn_paral_flow.png</image:loc>
              <image:caption>final equation for parallel flow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cross_flow_square_fins.png</image:loc>
              <image:caption>cross flow with square fins</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_pin_fin_2.png</image:loc>
              <image:caption>energy balance for the pin fin 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_pin_fin_5.png</image:loc>
              <image:caption>energy balance for the pin fin 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tanh_formula.png</image:loc>
              <image:caption>tanh formula</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/u_value_calc.png</image:loc>
              <image:caption>overall u value calculation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/parallel_flow_heat_exch.png</image:loc>
              <image:caption>parallel flow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diy_ac2.jpg</image:loc>
              <image:caption>homemade ac picture 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/corr_u_value_fins.png</image:loc>
              <image:caption>corrected u value for fins</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_rate_ratio_3.png</image:loc>
              <image:caption>heat rate ratio between fin and no fin 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tube_flow_unfinned_3.png</image:loc>
              <image:caption>flow through unfinned tube 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_pin_fin_3.png</image:loc>
              <image:caption>energy balance for the pin fin 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pin_fin_schematic.png</image:loc>
              <image:caption>one dimensional pin fin schematic</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_pin_fin_4.png</image:loc>
              <image:caption>energy balance for the pin fin 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diy_ac2_uchannel.jpg</image:loc>
              <image:caption>homemade ac picture 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/u_value_calc_2.png</image:loc>
              <image:caption>u value calc for diff strip</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_flow_diff_mediums.png</image:loc>
              <image:caption>heat flow through unfinned tube</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tube_flow_unfinned_2.png</image:loc>
              <image:caption>flow through unfinned tube 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_rate_fin_base_2.png</image:loc>
              <image:caption>heat rate at base of pin fin using fouriers law 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/m_for_tanh_formula.png</image:loc>
              <image:caption>m for tanh formula</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diy_ac_inside.jpg</image:loc>
              <image:caption>homemade ac picture 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/shell_and_tube_3.png</image:loc>
              <image:caption>one shell pass and one tube pass</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/fouriers_law_bc.png</image:loc>
              <image:caption>fouriers law boundary condition at fin tip with no heat flow</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_law_cooling_paral.png</image:loc>
              <image:caption>newtons law of cooling for parallel flow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_rate_fin_base.png</image:loc>
              <image:caption>heat rate at base of pin fin using fouriers law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/counterflow_exch_sch.png</image:loc>
              <image:caption>schematic for counterflow heat exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_pin_fin_6.png</image:loc>
              <image:caption>final differential equation for 1 d heat flow through pin fin</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/resis_for_cyl.png</image:loc>
              <image:caption>thermal r value for cylinder</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_rate_ratio.png</image:loc>
              <image:caption>heat rate ratio between fin and no fin</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/fouriers_law_bc_2.png</image:loc>
              <image:caption>fouriers law boundary condition at fin tip with no heat flow 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/energy_bal_parallel_flow_exch_2.png</image:loc>
              <image:caption>energy balance for parallel flow heat exchanger 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/heat-transfer-for-kids.html</loc>
            <lastmod>2017-07-10T17:29:53.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_kids_squirrel.jpg</image:loc>
              <image:caption>heat transfer for kids squirrel picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_kids_sun.jpg</image:loc>
              <image:caption>heat transfer for kids radiation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_kids_duck.jpg</image:loc>
              <image:caption>heat transfer for kids duck picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_transfer_kids_2.png</image:loc>
              <image:caption>heat transfer for kids convection</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_transfer_kids_1.png</image:loc>
              <image:caption>heat transfer for kids conduction</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_kids_leaves.jpg</image:loc>
              <image:caption>heat transfer for kids bag of leaves picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_kids_rad.jpg</image:loc>
              <image:caption>heat transfer for kids radiator</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/high-school-physics.html</loc>
            <lastmod>2017-07-23T19:01:13.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/hoberman-sphere.html</loc>
            <lastmod>2017-07-10T18:03:03.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hoberman_sphere.jpg</image:loc>
              <image:caption>picture of hoberman sphere</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/homemade-blue-light-filter.html</loc>
            <lastmod>2022-06-25T03:59:06.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/glasses_roscolux312.jpg</image:loc>
              <image:caption>roscolux 312 on glasses</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/computer_roscolux312.jpg</image:loc>
              <image:caption>roscolux 312 on computer screen</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/glasses_roscolux19.jpg</image:loc>
              <image:caption>roscolux 19 on glasses</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/phone_roscolux312.jpg</image:loc>
              <image:caption>roscolux 312 on phone</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/hookes-law.html</loc>
            <lastmod>2017-07-10T23:02:25.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hookes_law_2.png</image:loc>
              <image:caption>Schematic showing spring in unstretched and stretched and compressed state</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hookes_law_5.png</image:loc>
              <image:caption>Work equation for Hookes law 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hookes_law_3.png</image:loc>
              <image:caption>Work equation for Hookes law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hookes_law_4.png</image:loc>
              <image:caption>Work equation for Hookes law 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hookes_law_1.png</image:loc>
              <image:caption>Force equation for Hookes law</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/hot-air-balloon-physics.html</loc>
            <lastmod>2017-07-26T22:27:11.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hot_air_balloon_physics_2.png</image:loc>
              <image:caption>picture of hot air balloon showing center of buoyancy and center of mass</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hot_air_balloon_pic_2_edit.jpg</image:loc>
              <image:caption>picture of hot air balloon burner</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hot_air_balloon_pic_edit.jpg</image:loc>
              <image:caption>picture of hot air balloon</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hot_air_balloon_physics_1.png</image:loc>
              <image:caption>picture of object floating in a fluid illustrating Archimedes principle</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/how-airplanes-fly.html</loc>
            <lastmod>2017-07-23T19:21:36.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_3.png</image:loc>
              <image:caption>plane making a banked turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_11.png</image:loc>
              <image:caption>plane banked turn force balance 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_2.png</image:loc>
              <image:caption>hypersonic shuttle flight reentry heating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_10.png</image:loc>
              <image:caption>plane banked turn force balance 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_1.png</image:loc>
              <image:caption>forces acting on plane during level flight</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_4.png</image:loc>
              <image:caption>plane adjusting flight path due to wind 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_14.png</image:loc>
              <image:caption>angle of incidence for plane</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_15.png</image:loc>
              <image:caption>airflow over an airfoil</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_12.png</image:loc>
              <image:caption>airfoil picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_5.png</image:loc>
              <image:caption>plane adjusting flight path due to wind 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_7.png</image:loc>
              <image:caption>forces acting on plane during takeoff</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_8.png</image:loc>
              <image:caption>supersonic flight shock waves</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_13.png</image:loc>
              <image:caption>pitch roll yaw for plane</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_airplanes_9.png</image:loc>
              <image:caption>plane banked turn force balance 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/how-heat-pumps-work.html</loc>
            <lastmod>2017-07-26T22:34:52.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/3_ton_slinky_loop.jpg</image:loc>
              <image:caption>ground source heat pump loops</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/geothermal_heat_pump.png</image:loc>
              <image:caption>ground source heat pump schematic</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/heat_pump_schematic.png</image:loc>
              <image:caption>heat pump schematic</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/how-hot-is-the-sun.html</loc>
            <lastmod>2019-11-04T02:06:27.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/solar_power_flux_earth.png</image:loc>
              <image:caption>solar power flux at earth location</image:caption>
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              <image:loc>https://www.real-world-physics-problems.com/images/how_hot_is_sun_view.jpg</image:loc>
              <image:caption>view of sun from earth</image:caption>
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      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/how-light-bulbs-work.html</loc>
            <lastmod>2017-07-12T18:49:02.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/incandescent_light_bulb.jpg</image:loc>
              <image:caption>incandescent light bulb</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/black_body_emitters.png</image:loc>
              <image:caption>blackbody emitters</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/spectral_distribution_light.png</image:loc>
              <image:caption>spectral distribution of different light sources</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/glowworm.jpg</image:loc>
              <image:caption>glow worm picture</image:caption>
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            <image:image>
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              <image:caption>chemoluminescence picture</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/incandescent_hot_embers.jpg</image:loc>
              <image:caption>incandescent hot embers</image:caption>
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      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/how-long-does-it-take-to-get-to-mars.html</loc>
            <lastmod>2019-11-02T22:05:53.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/earth_mars_transfer_orbit.png</image:loc>
              <image:caption>travel from earth to mars</image:caption>
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      <url>
            <loc>https://www.real-world-physics-problems.com/how-magnets-work.html</loc>
            <lastmod>2017-07-12T19:12:54.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/magnet_physics_1.png</image:loc>
              <image:caption>magnet physics 1</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/magnet_physics_4.png</image:loc>
              <image:caption>magnet physics 4</image:caption>
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              <image:caption>magnet coins picture</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/magnet_filings_picture.png</image:loc>
              <image:caption>magnet iron filings picture</image:caption>
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              <image:loc>https://www.real-world-physics-problems.com/images/magnet_physics_3.png</image:loc>
              <image:caption>magnet physics 3</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/magnet_physics_2.png</image:loc>
              <image:caption>magnet physics 2</image:caption>
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      </url>
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            <lastmod>2022-06-12T20:12:59.000000Z</lastmod>
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              <image:caption>how to move heavy objects up or down stairs with plank</image:caption>
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              <image:caption>how to move heavy objects up or down stairs with dolly</image:caption>
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              <image:loc>https://www.real-world-physics-problems.com/images/move_heavy_objects_4.png</image:loc>
              <image:caption>how to move heavy objects with steel rod and leverage</image:caption>
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              <image:caption>how to move heavy objects with rollers</image:caption>
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            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/move_heavy_objects_1b.png</image:loc>
              <image:caption>how to move heavy objects with dolly 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/move_heavy_objects_1.png</image:loc>
              <image:caption>how to move heavy objects with dolly</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/how-to-remove-a-stripped-screw.html</loc>
            <lastmod>2022-06-12T19:48:15.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/remove_stripped_screw3.jpg</image:loc>
              <image:caption>removing stripped screw 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/remove_stripped_screw1.jpg</image:loc>
              <image:caption>removing stripped screw 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/remove_stripped_screw4.jpg</image:loc>
              <image:caption>removing stripped screw 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/remove_stripped_screw2.jpg</image:loc>
              <image:caption>removing stripped screw 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/hydro-energy-for-kids.html</loc>
            <lastmod>2017-07-12T19:28:44.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hydro_kids_1.png</image:loc>
              <image:caption>hydro energy figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hydro_kids_dam.jpg</image:loc>
              <image:caption>3 gorges dam hydro generating station picture</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/impulse-and-momentum.html</loc>
            <lastmod>2017-07-23T19:30:54.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_20.png</image:loc>
              <image:caption>Moment of inertia of solid ball about G in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_31.png</image:loc>
              <image:caption>Conservation of energy for ball reaching top of bump in impulse and momentum problem 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_18.png</image:loc>
              <image:caption>Solving for wf in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_28.png</image:loc>
              <image:caption>Final gravitational potential energy of ball in impulse and momentum problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_3.png</image:loc>
              <image:caption>Impulse term for impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_32.png</image:loc>
              <image:caption>Final equation for wf in impulse and momentum problem where a ball hits a bump 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_17.png</image:loc>
              <image:caption>Three unknowns in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_19.png</image:loc>
              <image:caption>Solving for angle theta in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_9.png</image:loc>
              <image:caption>Equation for x velocity of G due to ball pivoting about point P immediately after impact</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_11.png</image:loc>
              <image:caption>Equations for impulse and linear momentum in xy plane 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_26.png</image:loc>
              <image:caption>Initial gravitational potential energy of ball in impulse and momentum problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_22.png</image:loc>
              <image:caption>Schematic for position 1 of ball in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_4.png</image:loc>
              <image:caption>Equations for impulse and linear momentum in xy plane</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_8.png</image:loc>
              <image:caption>Equation for velocity of G due to ball pivoting about point P immediately after impact</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_15.png</image:loc>
              <image:caption>Sum of moments about G for impulse and momentum problem where a ball hits a bump 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_33.png</image:loc>
              <image:caption>Minimum initial angular velocity in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_27.png</image:loc>
              <image:caption>Final kinetic energy of ball in impulse and momentum problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_2.png</image:loc>
              <image:caption>Schematic of impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_25.png</image:loc>
              <image:caption>Initial kinetic energy of ball in impulse and momentum problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_6.png</image:loc>
              <image:caption>Ball initially rolls on a flat surface so there is no vertical motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_7.png</image:loc>
              <image:caption>Ball pivots about point P immediately after impact</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_35.png</image:loc>
              <image:caption>Impulse terms in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_24.png</image:loc>
              <image:caption>Conservation of energy for ball reaching top of bump in impulse and momentum problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_23.png</image:loc>
              <image:caption>Schematic for position 2 of ball in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_13.png</image:loc>
              <image:caption>Sum of moments about G for impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_14.png</image:loc>
              <image:caption>Sum of moments about G for impulse and momentum problem where a ball hits a bump 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_16.png</image:loc>
              <image:caption>Equation for impulse and angular momentum in xy plane 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_10.png</image:loc>
              <image:caption>Equation for y velocity of G due to ball pivoting about point P immediately after impact</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_12.png</image:loc>
              <image:caption>Equation for impulse and angular momentum in xy plane</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_5.png</image:loc>
              <image:caption>Ball initially rolls without slipping in impulse and momentum problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_1.png</image:loc>
              <image:caption>Impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_34.png</image:loc>
              <image:caption>Minimum initial speed in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_21.png</image:loc>
              <image:caption>Final equation for wf in impulse and momentum problem where a ball hits a bump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/impulse_momentum_pr_29.png</image:loc>
              <image:caption>Conservation of energy for ball reaching top of bump in impulse and momentum problem 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/inclined-plane-problems.html</loc>
            <lastmod>2018-05-19T05:27:42.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_3b.png</image:loc>
              <image:caption>inclined plane problem figure 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_3a.png</image:loc>
              <image:caption>inclined plane problem figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_4c.png</image:loc>
              <image:caption>inclined plane problem figure 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_2b.png</image:loc>
              <image:caption>inclined plane problem figure 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_4b.png</image:loc>
              <image:caption>inclined plane problem figure 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_2a.png</image:loc>
              <image:caption>inclined plane problem figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_4a.png</image:loc>
              <image:caption>inclined plane problem figure 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_1.png</image:loc>
              <image:caption>inclined plane problem figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inclined_pl_prob_3c.png</image:loc>
              <image:caption>inclined plane problem figure 6</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/inelastic-collision.html</loc>
            <lastmod>2017-07-13T16:30:48.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_1.png</image:loc>
              <image:caption>Conservation of linear momentum for inelastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_7.png</image:loc>
              <image:caption>Coefficient of restitution for head on inelastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_6.png</image:loc>
              <image:caption>Coefficient of restitution for inelastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_2.png</image:loc>
              <image:caption>Inelastic collision between two particles</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_8.png</image:loc>
              <image:caption>Conservation of linear momentum for head on inelastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_4.png</image:loc>
              <image:caption>Conservation of linear momentum for inelastic collision along x y z</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_3.png</image:loc>
              <image:caption>Conservation of linear momentum for inelastic collision 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inelastic_collision_5.png</image:loc>
              <image:caption>Line of impact for inelastic collision</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/inertial-reference-frame.html</loc>
            <lastmod>2017-07-26T22:00:17.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/inertial_reference_frame_1.png</image:loc>
              <image:caption>Illustration of inertial reference frame</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/instant-center.html</loc>
            <lastmod>2017-07-23T19:41:41.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_17.png</image:loc>
              <image:caption>Schematic of example wheel for instant center case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_3.png</image:loc>
              <image:caption>Velocity for point B for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_9.png</image:loc>
              <image:caption>Second equation for distance OA for example crank drive for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_24.png</image:loc>
              <image:caption>Schematic of example wheel for instant center case 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_16.png</image:loc>
              <image:caption>Equation for angular velocity for instant center case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_11.png</image:loc>
              <image:caption>Equation for vB in terms of vA for example crank drive for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_10.png</image:loc>
              <image:caption>Equation for rA and rB for example crank drive for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_7.png</image:loc>
              <image:caption>Equation for distance OA for example crank drive for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_20.png</image:loc>
              <image:caption>Equations for velocity using similar triangles for instant center case 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_6.png</image:loc>
              <image:caption>Solution for example crank drive for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_8.png</image:loc>
              <image:caption>Equation for angle alpha for example crank drive for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_21.png</image:loc>
              <image:caption>Velocity for point A for instant center case 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_12.png</image:loc>
              <image:caption>Schematic for instant center case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_2.png</image:loc>
              <image:caption>Velocity for point A for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_5.png</image:loc>
              <image:caption>Schematic of example crank drive for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_1.png</image:loc>
              <image:caption>Schematic for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_4.png</image:loc>
              <image:caption>Ratio of velocities for instant center case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_13.png</image:loc>
              <image:caption>Equations for velocity using similar triangles for instant center case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_18.png</image:loc>
              <image:caption>Equation for angular velocity of example wheel for instant center case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_23.png</image:loc>
              <image:caption>Equation for angular velocity for instant center case 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_14.png</image:loc>
              <image:caption>Velocity for point A for instant center case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_22.png</image:loc>
              <image:caption>Velocity for point B for instant center case 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_15.png</image:loc>
              <image:caption>Velocity for point B for instant center case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_19.png</image:loc>
              <image:caption>Schematic for instant center case 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/instant_center_25.png</image:loc>
              <image:caption>Equation for angular velocity of example wheel for instant center case 3</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/kaleidoscope.html</loc>
            <lastmod>2017-07-14T04:32:53.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kaleidoscope.jpg</image:loc>
              <image:caption>picture of kaleidoscope</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/kinematics-problems.html</loc>
            <lastmod>2018-05-04T01:26:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinematics_prob_5.png</image:loc>
              <image:caption>Schematic of example crank drive for kinematics problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinematics_prob_8.png</image:loc>
              <image:caption>Kinematics linkage problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinematics_prob_4.png</image:loc>
              <image:caption>Kinematics problem for rotating slotted link in polar coordinates</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinematics_prob_10.png</image:loc>
              <image:caption>Uniform motion football interception problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinematics_prob_9.png</image:loc>
              <image:caption>Kinematics ross yoke problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinematics_prob_6.png</image:loc>
              <image:caption>Schematic of gyro top for kinematics problem</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/kinematics.html</loc>
            <lastmod>2018-05-04T01:51:43.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/kinetic-energy-problems.html</loc>
            <lastmod>2018-03-22T14:21:21.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_ener_prob_4.png</image:loc>
              <image:caption>kinetic energy problem figure 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_ener_prob_3.png</image:loc>
              <image:caption>kinetic energy problem figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_ener_prob_2.png</image:loc>
              <image:caption>kinetic energy problem figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_ener_prob_1.png</image:loc>
              <image:caption>kinetic energy problem figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/kinetic-energy.html</loc>
            <lastmod>2017-07-23T19:52:15.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_12.png</image:loc>
              <image:caption>Schematic of rigid body for derivation of kinetic energy equation for three dimensional motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_3.png</image:loc>
              <image:caption>Schematic of rigid body experiencing planar motion for kinetic energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_14.png</image:loc>
              <image:caption>General motion equation for velocity for kinetic energy derivation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_11.png</image:loc>
              <image:caption>Schematic of rigid body experiencing three dimensional motion about fixed point O for kinetic energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_2.png</image:loc>
              <image:caption>Kinetic energy equation for a rigid body experiencing planar motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_9.png</image:loc>
              <image:caption>Schematic of rigid body experiencing three dimensional motion for kinetic energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_5.png</image:loc>
              <image:caption>Schematic of rigid body experiencing planar motion about fixed point O for kinetic energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_6.png</image:loc>
              <image:caption>Kinetic energy equation for a rigid body experiencing three dimensional motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_4.png</image:loc>
              <image:caption>Kinetic energy equation for a rigid body experiencing planar motion about fixed point O</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_13.png</image:loc>
              <image:caption>Kinetic energy equation for a small mass element in the rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_7.png</image:loc>
              <image:caption>Moment of inertia terms for a rigid body experiencing three dimensional motion for kinetic energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_15.png</image:loc>
              <image:caption>Kinetic energy equation for a small mass element in the rigid body 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_8.png</image:loc>
              <image:caption>Product of inertia terms for a rigid body experiencing three dimensional motion for kinetic energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_10.png</image:loc>
              <image:caption>Kinetic energy equation for a rigid body experiencing three dimensional motion about fixed point O</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinetic_energy_1.png</image:loc>
              <image:caption>Kinetic energy equation for a particle</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/learn-physics.html</loc>
            <lastmod>2020-01-18T22:48:11.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/levitron.html</loc>
            <lastmod>2017-07-18T02:25:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/levitron.jpg</image:loc>
              <image:caption>picture of levitron</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/linear-momentum.html</loc>
            <lastmod>2017-07-18T02:36:51.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_10.png</image:loc>
              <image:caption>If the external forces are zero the linear momentum is conserved</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_3.png</image:loc>
              <image:caption>Newtons second law for system of particles for derivation of linear momentum 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_4.png</image:loc>
              <image:caption>Newtons second law for system of particles for derivation of linear momentum 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_2.png</image:loc>
              <image:caption>Schematic showing system of particles for derivation of linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_8.png</image:loc>
              <image:caption>Definition of linear momentum for system of particles</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_6.png</image:loc>
              <image:caption>Newtons second law for system of particles for derivation of linear momentum 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_9.png</image:loc>
              <image:caption>Newtons second law for system of particles for derivation of linear momentum 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_5.png</image:loc>
              <image:caption>Newtons second law for system of particles for derivation of linear momentum 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_7.png</image:loc>
              <image:caption>Impulse term for system of particles for derivation of linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/linear_momentum_1.png</image:loc>
              <image:caption>Newtons second law for system of particles for derivation of linear momentum</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/low-temperature-stirling-engine.html</loc>
            <lastmod>2021-04-23T00:21:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-crank-2.png</image:loc>
              <image:caption>low temperature stirling engine crank 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-channels-1.png</image:loc>
              <image:caption>low temperature stirling engine heat exchanger top view</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-channels-3.jpg</image:loc>
              <image:caption>low temperature stirling engine heat exchanger perspective view 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine.png</image:loc>
              <image:caption>low temperature stirling engine diagram</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-heatx-pins.jpg</image:loc>
              <image:caption>low temperature stirling engine heat exchanger pin fins</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-coldx.png</image:loc>
              <image:caption>low temperature stirling engine cold exchanger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-crank-1.png</image:loc>
              <image:caption>low temperature stirling engine crank 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-press_ves.png</image:loc>
              <image:caption>low temperature stirling engine pressure vessel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-reg-2.jpg</image:loc>
              <image:caption>low temperature stirling engine reg housing 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-gamma.png</image:loc>
              <image:caption>low temperature stirling engine gamma config</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-reg-1.jpg</image:loc>
              <image:caption>low temperature stirling engine reg housing 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-channels-2.jpg</image:loc>
              <image:caption>low temperature stirling engine heat exchanger perspective view 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/low-temperature-stirling-engine-hotx.png</image:loc>
              <image:caption>low temperature stirling engine hot exchanger</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/mechanical-waves.html</loc>
            <lastmod>2017-07-18T15:09:15.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/surface_waves.jpg</image:loc>
              <image:caption>surface waves on water</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/mechanics-problems.html</loc>
            <lastmod>2017-08-22T23:19:51.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_prob_snowboarder_jump.png</image:loc>
              <image:caption>mechanics problems snowboarder jump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mechanics_prob_cat_righting_reflex.png</image:loc>
              <image:caption>mechanics problems cat righting reflex</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/mirascope.html</loc>
            <lastmod>2017-07-18T15:21:31.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mirascope.jpg</image:loc>
              <image:caption>picture of mirascope</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/miscellaneous-physics.html</loc>
            <lastmod>2025-08-05T02:09:23.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/moment-of-a-force.html</loc>
            <lastmod>2017-07-23T20:00:51.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moment_of_force_3.png</image:loc>
              <image:caption>Moment of the force F about point O</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moment_of_force_2.png</image:loc>
              <image:caption>Vector components of r and F for moment of a force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moment_of_force_1.png</image:loc>
              <image:caption>Sign convention for the moment of a force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moment_of_force_5.png</image:loc>
              <image:caption>Force couple for moment of a force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moment_of_force_6.png</image:loc>
              <image:caption>Magnitude of moment caused by force couple</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moment_of_force_4.png</image:loc>
              <image:caption>Moment of the force F about point O 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moment_of_force_7.png</image:loc>
              <image:caption>Moment caused by force couple expressed as vector components</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/momentum-problems.html</loc>
            <lastmod>2017-08-09T03:02:06.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momen_prob_9.png</image:loc>
              <image:caption>angular momentum problem rigid body arbitrary point</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momen_prob_8.png</image:loc>
              <image:caption>momentum problem where a ball hits a bump</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/momentum.html</loc>
            <lastmod>2017-07-20T02:39:45.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_1.png</image:loc>
              <image:caption>linear momentum of a moving particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_11.png</image:loc>
              <image:caption>conservation equation for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_8.png</image:loc>
              <image:caption>conservation of kinetic energy in collisions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_4.png</image:loc>
              <image:caption>collision before impact</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_5.png</image:loc>
              <image:caption>collision after impact</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_3.png</image:loc>
              <image:caption>impulse and change in linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_9.png</image:loc>
              <image:caption>equations for head-on elastic collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_7.png</image:loc>
              <image:caption>equations for conservation of linear momentum in xyz</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_10.png</image:loc>
              <image:caption>equation for angular momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_6.png</image:loc>
              <image:caption>vector equation for conservation of linear momentum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/momentum_and_collisions_2.png</image:loc>
              <image:caption>equation for linear momentum</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/moon-in-my-room.html</loc>
            <lastmod>2017-07-20T23:26:37.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moon_in_my_room.jpg</image:loc>
              <image:caption>picture of moon in my room</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/motion-along-a-circular-path.html</loc>
            <lastmod>2017-07-20T23:38:42.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/motion_circular_path_1.png</image:loc>
              <image:caption>body rotating along a circular path</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/motion_circular_path_2.png</image:loc>
              <image:caption>equations for body rotating along a circular path</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/motion_circular_path_3.png</image:loc>
              <image:caption>equations for body rotating along a circular path 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/motion-along-a-straight-line.html</loc>
            <lastmod>2017-07-20T23:46:37.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/motion_straight_line_3.png</image:loc>
              <image:caption>equations for motion of a particle along a straight line 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/motion_straight_line_2.png</image:loc>
              <image:caption>equations for motion of a particle along a straight line</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/motion_straight_line_1.png</image:loc>
              <image:caption>motion of a particle along a straight line</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/mousetrap-car-physics.html</loc>
            <lastmod>2017-07-21T02:34:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mousetrap_car_physics_1.png</image:loc>
              <image:caption>mousetrap car physics figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/mythbusters-physics.html</loc>
            <lastmod>2017-07-21T03:21:16.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/newtons-cradle.html</loc>
            <lastmod>2019-10-30T23:05:59.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_cradle.jpg</image:loc>
              <image:caption>picture of newtons cradle</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/newtons-laws.html</loc>
            <lastmod>2017-07-23T20:11:30.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_1.png</image:loc>
              <image:caption>newtons second law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_2.png</image:loc>
              <image:caption>newtons third law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_6.png</image:loc>
              <image:caption>newtons second law 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_4.png</image:loc>
              <image:caption>equal and opposite moments for newtons third law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_5.png</image:loc>
              <image:caption>moment for newtons third law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/forces_3.png</image:loc>
              <image:caption>equal and opposite reactions for newtons third law</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/newtons-second-law.html</loc>
            <lastmod>2021-09-18T00:35:13.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_second_law_5.png</image:loc>
              <image:caption>Sum over each particle in the system for Newtons second law</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_second_law_1.png</image:loc>
              <image:caption>Newtons second law for a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_second_law_4.png</image:loc>
              <image:caption>Newtons second law for each particle i in the system</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_second_law_7.png</image:loc>
              <image:caption>Final equation for Newtons second law for a system of particles</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_second_law_6.png</image:loc>
              <image:caption>Sum over each particle in the system for Newtons second law 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_second_law_3.png</image:loc>
              <image:caption>Schematic of system of particles for derivation of Newtons second law for the system</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_second_law_2.png</image:loc>
              <image:caption>Newtons second law for a system of particles</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/nuclear-energy-for-kids.html</loc>
            <lastmod>2017-07-23T00:30:59.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/nuclear_kids_1.jpg</image:loc>
              <image:caption>sun picture showing nuclear energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/nuclear_kids_2.jpg</image:loc>
              <image:caption>nuclear explosion picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/nuclear_kids_3.jpg</image:loc>
              <image:caption>nuclear power generating station picture</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/ooze-tube.html</loc>
            <lastmod>2017-07-23T20:53:20.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ooze_tube.jpg</image:loc>
              <image:caption>picture of ooze tube</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/parallel-axis-and-parallel-plane-theorem.html</loc>
            <lastmod>2017-07-24T19:46:20.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/parallel_axis_parallel_plane_3.png</image:loc>
              <image:caption>equations for parallel axis and parallel plane theorem 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/parallel_axis_parallel_plane_2.png</image:loc>
              <image:caption>equations for parallel axis and parallel plane theorem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/parallel_axis_parallel_plane_1.png</image:loc>
              <image:caption>diagram for parallel axis and parallel plane theorem</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/pasta-bridge.html</loc>
            <lastmod>2017-07-24T20:07:47.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pasta_bridge_idea.png</image:loc>
              <image:caption>pasta bridge project idea</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/pendulum-physics.html</loc>
            <lastmod>2017-07-24T20:19:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_17.png</image:loc>
              <image:caption>constant in simple pendulum equation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_18.png</image:loc>
              <image:caption>period of oscillation for general pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_4.png</image:loc>
              <image:caption>difference in height of G for the pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_19.png</image:loc>
              <image:caption>frequency of oscillation for general pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_10.png</image:loc>
              <image:caption>differentiate equation for conservation of energy for the pendulum 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_6.png</image:loc>
              <image:caption>kinetic energy of the pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_12.png</image:loc>
              <image:caption>equation for small angle approximation for pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_3.png</image:loc>
              <image:caption>gravitational potential energy for the pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_16.png</image:loc>
              <image:caption>moment of inertia for a simple pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_8.png</image:loc>
              <image:caption>conservation of energy for the pendulum 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_9.png</image:loc>
              <image:caption>differentiate equation for conservation of energy for the pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_2.png</image:loc>
              <image:caption>conservation of energy for the pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_7.png</image:loc>
              <image:caption>angular velocity of the pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_15.png</image:loc>
              <image:caption>simple pendulum swinging in a plane</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_11.png</image:loc>
              <image:caption>small angle approximation for pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_14.png</image:loc>
              <image:caption>constant in pendulum equation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_20.png</image:loc>
              <image:caption>sinusoidal motion of pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_1.png</image:loc>
              <image:caption>general pendulum swinging in a plane</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_13.png</image:loc>
              <image:caption>solution to equation for pendulum</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pendulum_physics_5.png</image:loc>
              <image:caption>gravitational potential energy for the pendulum 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-diagrams.html</loc>
            <lastmod>2020-01-17T21:52:05.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinem_dynam_thumbnail_4.png</image:loc>
              <image:caption>thumbnail view of kinematics and dynamics diagrams 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinem_dynam_thumbnail_3.png</image:loc>
              <image:caption>thumbnail view of kinematics and dynamics diagrams 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinem_dynam_thumbnail_1.png</image:loc>
              <image:caption>thumbnail view of kinematics and dynamics diagrams 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kinem_dynam_thumbnail_2.png</image:loc>
              <image:caption>thumbnail view of kinematics and dynamics diagrams 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-essays.html</loc>
            <lastmod>2023-04-08T02:48:31.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-for-kids.html</loc>
            <lastmod>2017-07-25T19:11:05.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/stomp_rocket_small.jpg</image:loc>
              <image:caption>small picture of stomp rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_small.jpg</image:loc>
              <image:caption>small picture of water rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hand_boiler_small.jpg</image:loc>
              <image:caption>small picture of hand boiler</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/dynamo_torch_small.jpg</image:loc>
              <image:caption>small picture of dynamo torch</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mirascope_small.jpg</image:loc>
              <image:caption>small picture of mirascope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/balancing_bird_small.jpg</image:loc>
              <image:caption>small picture of balancing bird</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/fly_stick_small.jpg</image:loc>
              <image:caption>small picture of fly stick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/spinning_top_small.jpg</image:loc>
              <image:caption>small picture of spinning top</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/drinking_bird_small.jpg</image:loc>
              <image:caption>small picture of drinking bird</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/toy_microscope_small.jpg</image:loc>
              <image:caption>small picture of toy microscope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/slinky_small.jpg</image:loc>
              <image:caption>small picture of a slinky</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/salt_water_fuel_cell_car_small.jpg</image:loc>
              <image:caption>small picture of salt water fuel cell car</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/boomerang_small.jpg</image:loc>
              <image:caption>small picture of boomerang</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_ring_small.jpg</image:loc>
              <image:caption>small picture of gyro ring</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/prism_small.jpg</image:loc>
              <image:caption>small picture of prism</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/galileo_thermometer_small.jpg</image:loc>
              <image:caption>small picture of galileo thermometer</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ufo_ball_small.jpg</image:loc>
              <image:caption>small picture of ufo ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hoberman_sphere_small.jpg</image:loc>
              <image:caption>small picture of hoberman sphere</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/solar_bag_small.jpg</image:loc>
              <image:caption>small picture of solar bag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/balsa_glider_small.jpg</image:loc>
              <image:caption>small picture of balsa glider</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tippe_top_small.jpg</image:loc>
              <image:caption>small picture of tippe top</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/levitron_small.jpg</image:loc>
              <image:caption>small picture of levitron</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diffraction_glasses_small.jpg</image:loc>
              <image:caption>small picture of diffraction glasses</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/chaos_tower_small.jpg</image:loc>
              <image:caption>small picture of chaos tower</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/potato_clock_small.jpg</image:loc>
              <image:caption>small picture of potato clock</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/plasma_ball_small.jpg</image:loc>
              <image:caption>small picture of plasma ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/toy_gyroscope_small.jpg</image:loc>
              <image:caption>small picture of toy gyroscope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tim_bird_small.jpg</image:loc>
              <image:caption>small picture of tim bird</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_cradle_small.jpg</image:loc>
              <image:caption>small picture of newtons cradle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tornado_tube_small.jpg</image:loc>
              <image:caption>small picture of tornado tube</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/kaleidoscope_small.jpg</image:loc>
              <image:caption>small picture of kaleidoscope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/thunder_tube_small.jpg</image:loc>
              <image:caption>small picture of thunder tube</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/radiometer_small.jpg</image:loc>
              <image:caption>small picture of radiometer</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_small.jpg</image:loc>
              <image:caption>small picture of eulers disk</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/toy_telescope_small.jpg</image:loc>
              <image:caption>small picture of toy telescope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rattleback_small.jpg</image:loc>
              <image:caption>small picture of rattleback</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/toy_hovercraft_small.jpg</image:loc>
              <image:caption>small picture of toy hovercraft</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-formulas.html</loc>
            <lastmod>2017-07-25T02:29:29.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-a-golf-swing.html</loc>
            <lastmod>2017-07-27T15:27:34.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_11.png</image:loc>
              <image:caption>general force equation in y-direction for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_7.png</image:loc>
              <image:caption>acceleration of center of mass in x-direction for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_14.png</image:loc>
              <image:caption>general moment equation for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_12.png</image:loc>
              <image:caption>acceleration of center of mass in y-direction for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bobby_jones_golf_swing.png</image:loc>
              <image:caption>Bobby Jones golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_17.png</image:loc>
              <image:caption>final equation for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_15.png</image:loc>
              <image:caption>angular acceleration for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_13.png</image:loc>
              <image:caption>specific force equation in y-direction for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_16.png</image:loc>
              <image:caption>specific moment equation for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_9.png</image:loc>
              <image:caption>notation for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/golf_swing_chart.png</image:loc>
              <image:caption>chart for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_5.png</image:loc>
              <image:caption>center of mass position of golf club</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_1.png</image:loc>
              <image:caption>golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_4.png</image:loc>
              <image:caption>free body diagram of golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_8.png</image:loc>
              <image:caption>specific force equation in x-direction for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_2.png</image:loc>
              <image:caption>Bobby Jones golf swing with red and blue curves to illustrate</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_10.png</image:loc>
              <image:caption>zero angular acceleration for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_20.png</image:loc>
              <image:caption>linear velocity of club head for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_6.png</image:loc>
              <image:caption>general force equation in x-direction for golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_3.png</image:loc>
              <image:caption>schematic of golf swing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_golf_swing_18.png</image:loc>
              <image:caption>initial conditions for golf swing</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-archery.html</loc>
            <lastmod>2017-07-27T16:08:04.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_archers_paradox_3.png</image:loc>
              <image:caption>second stage of arrow flight after release</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_archers_paradox_5.png</image:loc>
              <image:caption>third stage of arrow flight after release</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_archers_paradox_4.png</image:loc>
              <image:caption>general moment equation for arrow</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_archers_paradox_1.png</image:loc>
              <image:caption>arrow position before release</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/arrow_problem_cm.png</image:loc>
              <image:caption>arrow problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_archers_paradox_2.png</image:loc>
              <image:caption>first stage of arrow flight after release</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/archery_longbow.jpg</image:loc>
              <image:caption>archery longbow</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-basketball.html</loc>
            <lastmod>2017-07-27T16:21:34.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_basketball_1.png</image:loc>
              <image:caption>basketball shot 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_basketball_2.png</image:loc>
              <image:caption>parabolic curve for physics of basketball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/basketball_shot.jpg</image:loc>
              <image:caption>basketball shot</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_basketball_3.png</image:loc>
              <image:caption>backspin for physics of basketball</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-battle.html</loc>
            <lastmod>2017-07-28T17:49:45.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-billiards.html</loc>
            <lastmod>2018-04-15T21:53:46.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_22.png</image:loc>
              <image:caption>factor for direction of relative slipping for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_8.png</image:loc>
              <image:caption>free body diagram of billiard ball and cue</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pool_shot_edit.jpg</image:loc>
              <image:caption>pool shot</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_27.png</image:loc>
              <image:caption>general moment equation for billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_20.png</image:loc>
              <image:caption>distinct regions to hit billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_14.png</image:loc>
              <image:caption>specific force equation in y-direction for billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_30.png</image:loc>
              <image:caption>linear velocity for relative slipping of billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_1.png</image:loc>
              <image:caption>billiard ball collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_28.png</image:loc>
              <image:caption>general moment equation for billiard ball 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_25.png</image:loc>
              <image:caption>friction force equation for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_34.png</image:loc>
              <image:caption>moment of inertia for billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_38.png</image:loc>
              <image:caption>height of cue stick for billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_9.png</image:loc>
              <image:caption>general force equation in x-direction for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_33.png</image:loc>
              <image:caption>time for slipping to stop for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_23.png</image:loc>
              <image:caption>normal force for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_12.png</image:loc>
              <image:caption>general force equation in y-direction for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_15.png</image:loc>
              <image:caption>general moment equation for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_21.png</image:loc>
              <image:caption>free body diagram of billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_31.png</image:loc>
              <image:caption>angular velocity for relative slipping of billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_18.png</image:loc>
              <image:caption>height of cue stick for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_29.png</image:loc>
              <image:caption>final acceleration equations for relative slipping for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_36.png</image:loc>
              <image:caption>distance for slipping to stop for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_7.png</image:loc>
              <image:caption>billiard ball and cue</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_17.png</image:loc>
              <image:caption>specific moment equation for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_16.png</image:loc>
              <image:caption>angular acceleration for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_35.png</image:loc>
              <image:caption>time for slipping to stop for billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_10.png</image:loc>
              <image:caption>specific force equation in x-direction for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_32.png</image:loc>
              <image:caption>equality for slipping to stop for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_5.png</image:loc>
              <image:caption>simplified kinetic energy equation for billiard ball collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_19.png</image:loc>
              <image:caption>relative slipping for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_26.png</image:loc>
              <image:caption>equation for acceleration of center of mass of billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_2.png</image:loc>
              <image:caption>vector equation for billiard ball collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_6.png</image:loc>
              <image:caption>vector diagram for billiard ball collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_13.png</image:loc>
              <image:caption>specific force equation in y-direction for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_37.png</image:loc>
              <image:caption>linear velocity when pure rolling begins for billiard ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_11.png</image:loc>
              <image:caption>specific force equation in x-direction for billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_4.png</image:loc>
              <image:caption>kinetic energy equation for billiard ball collision</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_24.png</image:loc>
              <image:caption>general force equation in x-direction for billiard ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_billiards_3.png</image:loc>
              <image:caption>simplified vector equation for billiard ball collision</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-bowling.html</loc>
            <lastmod>2023-12-19T04:32:08.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_38.png</image:loc>
              <image:caption>velocity of geometric center of bowling ball C</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_4.png</image:loc>
              <image:caption>view looking down on bowling ball pin</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_23.png</image:loc>
              <image:caption>direction cosines are perpendicular to each other for xyz in bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_41.png</image:loc>
              <image:caption>kinetic friction vector of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_21.png</image:loc>
              <image:caption>vector equations for x y z for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_24.png</image:loc>
              <image:caption>orientation of vector r in bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_10.png</image:loc>
              <image:caption>oil lines on bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_46.png</image:loc>
              <image:caption>Expression for ac for bowling ball with static friction</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_6.png</image:loc>
              <image:caption>PAP and CG on a bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_36.png</image:loc>
              <image:caption>sum of moments on bowling ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_34.png</image:loc>
              <image:caption>sum of forces on bowling ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_2.png</image:loc>
              <image:caption>symmetric weight block view</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_40.png</image:loc>
              <image:caption>magnitude of kinetic friction of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_33.png</image:loc>
              <image:caption>sum of forces on bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_37.png</image:loc>
              <image:caption>relative motion at point P of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_7.png</image:loc>
              <image:caption>illustration of CG on a bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_28.png</image:loc>
              <image:caption>angular acceleration as the derivative of angular velocity for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_12.png</image:loc>
              <image:caption>PAP location for asymmetric weight block</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_45.png</image:loc>
              <image:caption>Expression for Vc for bowling ball with static friction</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_11.png</image:loc>
              <image:caption>PAP location for symmetric weight block</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_20.png</image:loc>
              <image:caption>full set up for the physics of bowling 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_42.png</image:loc>
              <image:caption>magnitude of Vp of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_32.png</image:loc>
              <image:caption>acceleration of the center of mass G for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_48.png</image:loc>
              <image:caption>sum of moments on bowling ball 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_25.png</image:loc>
              <image:caption>orientation of angular velocity and angular acceleration vector for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_1.png</image:loc>
              <image:caption>bowling ball cut in half with imaginary cutting plane</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_8.png</image:loc>
              <image:caption>trajectory of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_15.png</image:loc>
              <image:caption>lane friction for case 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bowlerbowling.jpg</image:loc>
              <image:caption>bowler making a shot</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_26.png</image:loc>
              <image:caption>components of angular velocity and angular acceleration along xyz for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_44.png</image:loc>
              <image:caption>Expression for Vp from before for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_13.png</image:loc>
              <image:caption>rotation axis of bowling ball changing orientation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_35.png</image:loc>
              <image:caption>sum of moments on bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bowlingballs.jpg</image:loc>
              <image:caption>picture of two bowling balls</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_31.png</image:loc>
              <image:caption>normalize x y z and r after each iteration for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_14.png</image:loc>
              <image:caption>CG on left side of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_3.png</image:loc>
              <image:caption>xyz coordinate system to illustrate symmetric weight block</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_22.png</image:loc>
              <image:caption>sum of direction cosines squared equals one for xyz in bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_39.png</image:loc>
              <image:caption>relative motion at point P of bowling ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_16.png</image:loc>
              <image:caption>lane friction for case 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_29.png</image:loc>
              <image:caption>new orientation of xyz based on its previous orientation for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_5.png</image:loc>
              <image:caption>asymmetric weight block view</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_17.png</image:loc>
              <image:caption>lane friction for case 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_30.png</image:loc>
              <image:caption>new orientation of r based on its previous orientation for bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_47.png</image:loc>
              <image:caption>final expression for Vc and ac for bowling ball with static friction</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_9.png</image:loc>
              <image:caption>precession of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_43.png</image:loc>
              <image:caption>kinetic friction vector components of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_49.png</image:loc>
              <image:caption>criterion for pure rolling of bowling ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_18.png</image:loc>
              <image:caption>moments of inertia for an asymmetric weight block</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_27.png</image:loc>
              <image:caption>components of angular velocity and angular acceleration along xyz for bowling ball 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bowling_19.png</image:loc>
              <image:caption>full set up for the physics of bowling</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-bungee-jumping.html</loc>
            <lastmod>2017-07-29T15:14:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_8.png</image:loc>
              <image:caption>gravitational potential energy of bungee jumper and cord at position 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_4.png</image:loc>
              <image:caption>kinetic energy of bungee jumper and cord at position 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_25.png</image:loc>
              <image:caption>schematic to find maximum falling distance of bungee jumper using conservation of energy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_6.png</image:loc>
              <image:caption>density of bungee cord as mass per unit length</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_17.png</image:loc>
              <image:caption>rate of change of velocity of bungee jumper is equal to his acceleration</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_16.png</image:loc>
              <image:caption>mathematical expression for impulse and momentum analysis of bungee jumper and cord 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_9.png</image:loc>
              <image:caption>expression for velocity v of bungee jumper as a function of y</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bungee_jumping_physics_edit.jpg</image:loc>
              <image:caption>picture of bungee jumper jumping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_11.png</image:loc>
              <image:caption>control volume for impulse and momentum analysis of bungee jumper and cord between positions 1 and 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_22.png</image:loc>
              <image:caption>equation for acceleration of bungee jumper</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_21.png</image:loc>
              <image:caption>mathematical expression for impulse and momentum analysis of bungee jumper and cord 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_18.png</image:loc>
              <image:caption>mathematical expression for impulse and momentum analysis of bungee jumper and cord 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_12.png</image:loc>
              <image:caption>mathematical expression for impulse and momentum analysis of bungee jumper and cord</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_13.png</image:loc>
              <image:caption>mathematical expression for impulse and momentum analysis of bungee jumper and cord 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_2.png</image:loc>
              <image:caption>position of bungee jumper after he jumps</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_5.png</image:loc>
              <image:caption>gravitational potential energy of bungee jumper and cord at position 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_19.png</image:loc>
              <image:caption>expression for rate of change of mass inside control volume</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_20.png</image:loc>
              <image:caption>expression for the sum of the external forces in the y direction acting on the particles of the cv</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_14.png</image:loc>
              <image:caption>the mass of the particles flowing out of the cv must be the negative of the mass decrease in the cv</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_15.png</image:loc>
              <image:caption>mass rate of particles flowing out of the cv must be the negative of the mass rate decrease in cv</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_3.png</image:loc>
              <image:caption>equation for conservation of energy of bungee jumper and cord between positions 1 and 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_26.png</image:loc>
              <image:caption>equations for conservation of energy to find maximum falling distance of bungee jumper</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_10.png</image:loc>
              <image:caption>control volume for impulse and momentum analysis of bungee jumper and cord</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_7.png</image:loc>
              <image:caption>kinetic energy of bungee jumper and cord at position 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_24.png</image:loc>
              <image:caption>equation for acceleration of bungee jumper 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_1.png</image:loc>
              <image:caption>initial position of bungee jumper before he jumps</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_bungee_jumping_23.png</image:loc>
              <image:caption>equation for acceleration of bungee jumper 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-cheerleading.html</loc>
            <lastmod>2017-07-29T15:33:34.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheerleading_picture_4_edit.jpg</image:loc>
              <image:caption>cheerleading picture of throw</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheerleading_picture_1_edit.jpg</image:loc>
              <image:caption>cheerleading picture 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheerleading_picture_5_edit.jpg</image:loc>
              <image:caption>cheerleading picture 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheerleading_picture_3_edit.jpg</image:loc>
              <image:caption>cheerleading picture 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cheerleading_picture_2_edit.jpg</image:loc>
              <image:caption>cheerleading picture 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-curling.html</loc>
            <lastmod>2017-07-29T15:54:27.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curling_stone_2_edit.jpg</image:loc>
              <image:caption>picture of curling stone</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_curling_2.png</image:loc>
              <image:caption>schematic of curling stone 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/curling_picture_edit.jpg</image:loc>
              <image:caption>picture of curling</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_curling_1.png</image:loc>
              <image:caption>schematic of curling stone</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-figure-skating.html</loc>
            <lastmod>2017-07-30T18:03:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_4.jpg</image:loc>
              <image:caption>schematic of death spiral in figure skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_5.png</image:loc>
              <image:caption>schematic of death spiral in figure skating 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_10.png</image:loc>
              <image:caption>general force equation for death spiral in figure skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_3.png</image:loc>
              <image:caption>angular momentum equation for rotation in figure skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_9.png</image:loc>
              <image:caption>final force equation for death spiral in figure skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_6.png</image:loc>
              <image:caption>centripetal acceleration for death spiral in figure skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_2.jpg</image:loc>
              <image:caption>death spiral in figure skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_1.jpg</image:loc>
              <image:caption>rotation in figure skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_figure_skating_8.png</image:loc>
              <image:caption>specific force equation for death spiral in figure skating</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-football.html</loc>
            <lastmod>2019-01-15T00:37:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_14.png</image:loc>
              <image:caption>football physics figure 14</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_12.png</image:loc>
              <image:caption>football physics figure 12</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_9.png</image:loc>
              <image:caption>football physics figure 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_11.png</image:loc>
              <image:caption>football physics figure 11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_1.png</image:loc>
              <image:caption>football physics figure 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_4.png</image:loc>
              <image:caption>football physics figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_7.png</image:loc>
              <image:caption>football physics figure 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_10.png</image:loc>
              <image:caption>football physics figure 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_3.png</image:loc>
              <image:caption>football physics figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_2009_probowl.jpg</image:loc>
              <image:caption>football 2009 pro bowl</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_2.png</image:loc>
              <image:caption>football physics figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_15.png</image:loc>
              <image:caption>football physics figure 15</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_6.png</image:loc>
              <image:caption>football physics figure 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_13.png</image:loc>
              <image:caption>football physics figure 13</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_8.png</image:loc>
              <image:caption>football physics figure 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/football_physics_5.png</image:loc>
              <image:caption>football physics figure 5</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-golf.html</loc>
            <lastmod>2017-07-30T18:26:25.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/golf_putting.jpg</image:loc>
              <image:caption>golf putting on sloped surface</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/golf_ball.png</image:loc>
              <image:caption>golf ball flying through air</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/golf_ball_2.png</image:loc>
              <image:caption>golf ball flying through air with rotation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/golf_club_head_loft.png</image:loc>
              <image:caption>golf club loft angle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/magnus_effect_golf.png</image:loc>
              <image:caption>magnus effect for rotating golf ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/golf_club_strike.png</image:loc>
              <image:caption>golf club strike with ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/bobby_jones_golf_swing_pic.png</image:loc>
              <image:caption>bobby jones golf swing picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/golfing_pic.jpg</image:loc>
              <image:caption>golfing picture</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-gymnastics.html</loc>
            <lastmod>2017-07-30T18:48:38.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_3.png</image:loc>
              <image:caption>still rings physics 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_2.png</image:loc>
              <image:caption>still rings physics 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_6.png</image:loc>
              <image:caption>trampoline event zero angular momentum body orientation change 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_1.png</image:loc>
              <image:caption>still rings physics 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_4.png</image:loc>
              <image:caption>trampoline event zero angular momentum body orientation change 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_5.png</image:loc>
              <image:caption>trampoline event somersault and twist</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_8.png</image:loc>
              <image:caption>trampoline event somersault and twist angular velocity equations 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_gymnastics_7.png</image:loc>
              <image:caption>trampoline event somersault and twist angular velocity equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gymnastics_picture.jpg</image:loc>
              <image:caption>gymnastics picture rings event</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-hitting-a-baseball.html</loc>
            <lastmod>2017-07-31T19:01:34.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/player_hitting_ball.jpg</image:loc>
              <image:caption>player hitting baseball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_6.png</image:loc>
              <image:caption>angular acceleration of bat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_5.png</image:loc>
              <image:caption>specific moment equation of bat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_4.png</image:loc>
              <image:caption>distance to center of mass of bat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_8.png</image:loc>
              <image:caption>distance to sweet spot of bat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_2.png</image:loc>
              <image:caption>moment equation of bat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_7.png</image:loc>
              <image:caption>force equation of bat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_9.png</image:loc>
              <image:caption>finding sweet spot of bat manually</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_1.png</image:loc>
              <image:caption>free body diagram of bat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_baseball_bat_3.png</image:loc>
              <image:caption>moment of inertia of bat</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-hockey.html</loc>
            <lastmod>2017-07-31T19:40:56.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_hockey_5.png</image:loc>
              <image:caption>diagram of hockey stick showing tilt angle of blade</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_hockey_4.png</image:loc>
              <image:caption>diagram of hockey stick showing maximum curvature of blade</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_hockey_3.png</image:loc>
              <image:caption>diagram of hockey players skate blade</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hockey_slapshot_2_edit.jpg</image:loc>
              <image:caption>picture of hockey player during the impact stage of slapshot</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_hockey_1.png</image:loc>
              <image:caption>schematic of hockey player pushing off the ice</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hockey_goaltender_3_edit.jpg</image:loc>
              <image:caption>picture of goaltender</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_hockey_6.png</image:loc>
              <image:caption>diagram of hockey stick showing angle of lie</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hockey_picture_edit.jpg</image:loc>
              <image:caption>picture of ice hockey</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hockey_slapshot_edit.jpg</image:loc>
              <image:caption>picture of hockey player beginning the slapshot</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hockey_lacrosse_move_goal_edit.jpg</image:loc>
              <image:caption>picture of lacrosse style move in hockey</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_hockey_2.png</image:loc>
              <image:caption>schematic of hockey player pushing off the ice and skating backward</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-ice-skating.html</loc>
            <lastmod>2017-07-31T20:01:55.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_4.png</image:loc>
              <image:caption>centripetal acceleration of speed skater as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_3.png</image:loc>
              <image:caption>newtons second law applied to horizontal direction for speed skater as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_picture_edit_4.jpg</image:loc>
              <image:caption>picture of speed skater</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_picture_edit.jpg</image:loc>
              <image:caption>picture of ice skating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_5.png</image:loc>
              <image:caption>newtons second law applied to horizontal direction for speed skater as he goes around a turn 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_picture_edit_5.jpg</image:loc>
              <image:caption>picture of short track speed skaters</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_9.png</image:loc>
              <image:caption>schematic of skater pushing off the ice and skating backward</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_2.png</image:loc>
              <image:caption>vertical forces sum to zero for speed skater as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_1.png</image:loc>
              <image:caption>schematic of short track speed skater as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_6.png</image:loc>
              <image:caption>zero moment acting on skater about center of mass G</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_7.png</image:loc>
              <image:caption>final result for angle of lean of skater as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_ice_skating_8.png</image:loc>
              <image:caption>schematic of skater pushing off the ice</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-jumping.html</loc>
            <lastmod>2017-08-01T14:18:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_high_jump_3.png</image:loc>
              <image:caption>physics of high jump figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/long_jump_picture.jpg</image:loc>
              <image:caption>long jump picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/high_jump_picture.jpg</image:loc>
              <image:caption>high jump picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_high_jump_1.png</image:loc>
              <image:caption>physics of high jump figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_high_jump_2.png</image:loc>
              <image:caption>physics of high jump figure</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_long_jump.png</image:loc>
              <image:caption>physics of long jump figure</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-kite-flying.html</loc>
            <lastmod>2017-08-01T14:36:31.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_kite_flying_2.jpg</image:loc>
              <image:caption>kites with long tails for stability</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_kite_flying_3.png</image:loc>
              <image:caption>schematic of kite</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_kite_flying_1.jpg</image:loc>
              <image:caption>airborne kite</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-luge.html</loc>
            <lastmod>2017-08-01T14:54:35.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_luge_7.png</image:loc>
              <image:caption>centripetal acceleration experienced by luger going around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/luge_picture_2_edit_b.jpg</image:loc>
              <image:caption>luger along turning part of track</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_luge_1.png</image:loc>
              <image:caption>drag force acting on luger</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/luge_picture_3_edit.jpg</image:loc>
              <image:caption>luger along straight part of track</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/luge_picture_1_edit.jpg</image:loc>
              <image:caption>start of luge race</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-pole-vaulting.html</loc>
            <lastmod>2017-08-02T18:06:35.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pole_vault.jpg</image:loc>
              <image:caption>pole vaulting picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_pole_vault.png</image:loc>
              <image:caption>pole vaulter center of mass below bar</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-running.html</loc>
            <lastmod>2021-08-15T21:04:52.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_running_5.png</image:loc>
              <image:caption>100 meter sprint strategy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_running_6.png</image:loc>
              <image:caption>400 meter sprint strategy</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/2012_olympic_200m_final.jpg</image:loc>
              <image:caption>2012 olympic 200 meter final</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_running_1.png</image:loc>
              <image:caption>profile view of runner with forces shown</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_running_4.png</image:loc>
              <image:caption>running around a curved track</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_running_3.png</image:loc>
              <image:caption>parabolic arc traced by runners center of mass</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/2008_olympic_100m_final.jpg</image:loc>
              <image:caption>2008 olympic 100 meter final</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_running_2.png</image:loc>
              <image:caption>arm swinging by runner to generate counter torque</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-sailing.html</loc>
            <lastmod>2017-08-02T19:36:47.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_sailing_5.png</image:loc>
              <image:caption>schematic of sailboat 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_sailing_7.jpg</image:loc>
              <image:caption>sailboat tilting in wind</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_sailing_6.png</image:loc>
              <image:caption>forces on sailboat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_sailing_3.png</image:loc>
              <image:caption>schematic of sailboat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_sailing_2.png</image:loc>
              <image:caption>diagram of sailboat</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_sailing_8.png</image:loc>
              <image:caption>schematic of sailboat tilting in wind</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_sailing_1.jpg</image:loc>
              <image:caption>sailing picture</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-scale.html</loc>
            <lastmod>2017-08-03T17:43:19.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/sphere_cooling.png</image:loc>
              <image:caption>spheres cooling</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/spheres_approaching.png</image:loc>
              <image:caption>spheres approaching</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-skateboarding.html</loc>
            <lastmod>2017-08-03T18:10:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_5.png</image:loc>
              <image:caption>angular impulse and momentum equation applied to skateboarder plus board on half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_6.png</image:loc>
              <image:caption>final angular velocity of the skateboarder and board at position 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_2b.jpg</image:loc>
              <image:caption>forces acting on the skateboard during the ollie 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_7.png</image:loc>
              <image:caption>moment of inertia terms of the skateboarder and board at positions 1 and 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_3.jpg</image:loc>
              <image:caption>conservation of angular momentum in frontside 180 skateboarding trick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_2a.jpg</image:loc>
              <image:caption>forces acting on the skateboard during the ollie</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_8.png</image:loc>
              <image:caption>velocity of center of mass of body at positions 1 and 2 for skateboarder in half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/half_pipe_physics_skateboarding_edit.jpg</image:loc>
              <image:caption>skateboard on half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hippy_jump_physics_skateboarding_1.jpg</image:loc>
              <image:caption>skateboarder doing hippie jump over obstacle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_1.png</image:loc>
              <image:caption>hippie jump in skateboarding</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skateboarding_4.png</image:loc>
              <image:caption>schematic of skateboard on half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/half_pipe_physics_skateboarding_2_edit.jpg</image:loc>
              <image:caption>skateboard on half pipe 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-skiing.html</loc>
            <lastmod>2017-08-03T18:45:32.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_1.png</image:loc>
              <image:caption>drag force acting on skier</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_19.png</image:loc>
              <image:caption>force applied to ski on sloped snow surface to avoid slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_10.png</image:loc>
              <image:caption>initial orientation of skis to induce skidding</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/skiing_downhill_1_edit.jpg</image:loc>
              <image:caption>downhill skier in a crouch position to minimize drag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_3.png</image:loc>
              <image:caption>skier doing a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/skiing_downhill_2_edit.jpg</image:loc>
              <image:caption>downhill skier going down a slope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_2.png</image:loc>
              <image:caption>skier skidding around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ski_jumping_1_edit.jpg</image:loc>
              <image:caption>picture of ski jump</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_12.png</image:loc>
              <image:caption>enhanced self steering mechanism of skidding skies</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_4.jpg</image:loc>
              <image:caption>ski showing sidecut radius</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/skiing_twist_trick_edit.jpg</image:loc>
              <image:caption>picture of aerial freestyle skier doing a trick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_15.png</image:loc>
              <image:caption>forces sum to zero in y direction for skier as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_16.png</image:loc>
              <image:caption>newtons second law applied to x direction for skier as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_20.png</image:loc>
              <image:caption>schematic of nordic skier pushing off the snow</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_6.png</image:loc>
              <image:caption>ski that is flat on snow going around a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_13.png</image:loc>
              <image:caption>schematic for orientation of skier on slope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_18.png</image:loc>
              <image:caption>zero moment acting on skier about center of mass G</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_7.png</image:loc>
              <image:caption>reverse camber on ski</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/skiing_snowplow_edit.jpg</image:loc>
              <image:caption>picture of skier using snowplow to slow down</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_17.png</image:loc>
              <image:caption>centripetal acceleration of skier as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_9.png</image:loc>
              <image:caption>case where the ski is tilted with a reverse camber for a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_8.png</image:loc>
              <image:caption>case where the ski is tilted with no reverse camber for a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_11.png</image:loc>
              <image:caption>self steering mechanism of skidding skies due to reverse camber</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_5.png</image:loc>
              <image:caption>ski tilted at an angle to the snow</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skiing_14.png</image:loc>
              <image:caption>free body diagram of skier on slope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ski_jumping_2_edit.jpg</image:loc>
              <image:caption>picture of ski jumper making v shape with his skis</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/nordic_skiing_edit.jpg</image:loc>
              <image:caption>picture of nordic skier</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-skydiving.html</loc>
            <lastmod>2017-08-05T20:03:42.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_8.png</image:loc>
              <image:caption>projected area for drag in skydiving</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_6.png</image:loc>
              <image:caption>terminal speed for skydiving</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_3.png</image:loc>
              <image:caption>drag equation for skydiving</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_4.png</image:loc>
              <image:caption>force of gravity on skydiver</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_5.png</image:loc>
              <image:caption>equation for terminal speed for skydiving</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_1.jpg</image:loc>
              <image:caption>skydiving free fall</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_7.jpg</image:loc>
              <image:caption>skydiving parachute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_skydiving_2.png</image:loc>
              <image:caption>free body diagram of skydiving</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-snowboarding.html</loc>
            <lastmod>2017-08-05T20:35:42.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_11.png</image:loc>
              <image:caption>forces sum to zero in y direction for snowboarder as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_7.png</image:loc>
              <image:caption>case where the snowboard is tilted with no reverse camber for a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_6.png</image:loc>
              <image:caption>reverse camber on snowboard</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_2.png</image:loc>
              <image:caption>snowboarder doing a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/snowboarder_mountain_2.jpg</image:loc>
              <image:caption>snowboarder going down a mountain 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_3.jpg</image:loc>
              <image:caption>snowboard showing sidecut radius</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/snowboarding_picture_4_edit.jpg</image:loc>
              <image:caption>snowboarder on half pipe 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_10.png</image:loc>
              <image:caption>free body diagram of snowboarder on slope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_1.png</image:loc>
              <image:caption>snowboarder skidding around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_21.png</image:loc>
              <image:caption>velocity of center of mass of body at positions 1 and 2 for snowboarder in half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_18.png</image:loc>
              <image:caption>angular impulse and momentum equation applied to snowboarder plus board on half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/snowboarder_mountain.jpg</image:loc>
              <image:caption>snowboarder going down a mountain</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/snowboarding_picture_5_frontside_180_edit.jpg</image:loc>
              <image:caption>picture of snowboarder doing frontside 180</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_14.png</image:loc>
              <image:caption>zero moment acting on snowboarder about center of mass G</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_8.png</image:loc>
              <image:caption>case where the snowboard is tilted with a reverse camber for a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_15.png</image:loc>
              <image:caption>angle of lean for snowboarder</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_17.png</image:loc>
              <image:caption>schematic of snowboarder on half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_16.png</image:loc>
              <image:caption>force applied to snowboard on sloped snow surface to avoid slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_20.png</image:loc>
              <image:caption>moment of inertia terms of the snowboarder and board at positions 1 and 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_13.png</image:loc>
              <image:caption>centripetal acceleration of snowboarder as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/snowboarding_picture_3_edit.jpg</image:loc>
              <image:caption>snowboarder on half pipe</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/snowboarding_picture_1_edit.jpg</image:loc>
              <image:caption>picture of snowboarder doing a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_12.png</image:loc>
              <image:caption>newtons second law applied to x direction for snowboarder as he goes around a turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_4.png</image:loc>
              <image:caption>snowboard tilted at an angle to the snow</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_5.png</image:loc>
              <image:caption>snowboard that is flat on snow going around a purely carved turn</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_19.png</image:loc>
              <image:caption>final angular velocity of the snowboarder and board at position 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_snowboarding_9.png</image:loc>
              <image:caption>schematic for orientation of snowboarder on slope</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-soccer.html</loc>
            <lastmod>2017-08-05T21:01:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/soccer_kick.jpg</image:loc>
              <image:caption>soccer kick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_soccer_2.png</image:loc>
              <image:caption>soccer kick schematic for physics of soccer</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/magnus_effect.png</image:loc>
              <image:caption>magnus effect for physics of soccer</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_soccer_3.png</image:loc>
              <image:caption>coefficient of restitution for soccer kick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_soccer_4.png</image:loc>
              <image:caption>one dimensional momentum equation for soccer kick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_soccer_7.png</image:loc>
              <image:caption>foot velocity after the soccer kick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_soccer_6.png</image:loc>
              <image:caption>soccer ball velocity after the kick 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_soccer_1.png</image:loc>
              <image:caption>trajectory of ball for physics of soccer</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_soccer_5.png</image:loc>
              <image:caption>soccer ball velocity after the kick</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-sports.html</loc>
            <lastmod>2019-01-11T21:56:37.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-swimming.html</loc>
            <lastmod>2017-08-06T16:18:06.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_5.png</image:loc>
              <image:caption>swimming dolphin kick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_6.png</image:loc>
              <image:caption>swimming minimizing drag force</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_1.png</image:loc>
              <image:caption>physics of swimming during floating</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_8.png</image:loc>
              <image:caption>swimming hand motion through water and forces</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_7.png</image:loc>
              <image:caption>swimming hand as wing</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_3.png</image:loc>
              <image:caption>swimming hand forces</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_2.png</image:loc>
              <image:caption>physics of swimming during swimming</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_swimming_4.png</image:loc>
              <image:caption>swimming resultant force in desired direction of travel</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/swimming_picture_michael_phelps.jpg</image:loc>
              <image:caption>swimming picture of michael phelps in 400 im</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-tennis.html</loc>
            <lastmod>2017-08-09T03:17:55.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_4.png</image:loc>
              <image:caption>tennis physics 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_5.png</image:loc>
              <image:caption>tennis physics 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tennis_picture.jpg</image:loc>
              <image:caption>tennis picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_3.png</image:loc>
              <image:caption>tennis physics 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_7.png</image:loc>
              <image:caption>tennis physics 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_8.png</image:loc>
              <image:caption>tennis physics 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_1.png</image:loc>
              <image:caption>tennis physics 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_2.png</image:loc>
              <image:caption>tennis physics 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_tennis_6.png</image:loc>
              <image:caption>tennis physics 6</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-of-volleyball.html</loc>
            <lastmod>2017-08-06T23:24:39.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_1.png</image:loc>
              <image:caption>top view of volleyball court</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/volleyball_picture_1_edit.jpg</image:loc>
              <image:caption>picture of volleyball game</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_9.png</image:loc>
              <image:caption>variables a and b for general equation of parabola for volleyball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_2.png</image:loc>
              <image:caption>view of volleyball serve</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/magnus_effect_volleyball.png</image:loc>
              <image:caption>magnus effect for volleyball serve</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_7.png</image:loc>
              <image:caption>y displacement of volleyball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_5.png</image:loc>
              <image:caption>equation for distance Lb on volleyball court</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_4.png</image:loc>
              <image:caption>equation for distance La on volleyball court</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_6.png</image:loc>
              <image:caption>x displacement of volleyball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_8.png</image:loc>
              <image:caption>equation of parabola for volleyball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/volleyball_jump_serve_edit.jpg</image:loc>
              <image:caption>picture of volleyball jump serve</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_3.png</image:loc>
              <image:caption>general equation of parabola for volleyball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_volleyball_10.png</image:loc>
              <image:caption>time that the volleyball is airborne</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-project-ideas.html</loc>
            <lastmod>2017-08-07T19:20:51.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_6.jpg</image:loc>
              <image:caption>calcium chloride picture 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_8.jpg</image:loc>
              <image:caption>miniature hovercraft picture 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_3.jpg</image:loc>
              <image:caption>picture of insulation materials 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_2.jpg</image:loc>
              <image:caption>picture of insulation materials 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_5.jpg</image:loc>
              <image:caption>calcium chloride picture 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_4.jpg</image:loc>
              <image:caption>calcium chloride picture 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_7.jpg</image:loc>
              <image:caption>barometer mechanism picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_10.jpg</image:loc>
              <image:caption>miniature hovercraft picture 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_1.jpg</image:loc>
              <image:caption>picture of insulation materials 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_project_ideas_9.jpg</image:loc>
              <image:caption>miniature hovercraft picture 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-questions.html</loc>
            <lastmod>2018-05-04T01:27:43.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_20.png</image:loc>
              <image:caption>Physics question 20</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_15.png</image:loc>
              <image:caption>Physics question 15</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_9b.png</image:loc>
              <image:caption>Physics question 9b</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/stirling_dish_reflection.jpg</image:loc>
              <image:caption>Physics question 17</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_12.png</image:loc>
              <image:caption>Physics question 12</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_4.png</image:loc>
              <image:caption>Physics question 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_3.png</image:loc>
              <image:caption>Physics question 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_6.png</image:loc>
              <image:caption>Physics question 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_7.png</image:loc>
              <image:caption>Physics question 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_9a.png</image:loc>
              <image:caption>Physics question 9a</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_10.png</image:loc>
              <image:caption>Physics question 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_13.png</image:loc>
              <image:caption>Physics question 13</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_1.png</image:loc>
              <image:caption>Physics question 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_14.png</image:loc>
              <image:caption>Physics question 14</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_16.png</image:loc>
              <image:caption>Physics question 16</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_11.png</image:loc>
              <image:caption>Physics question 11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_questions_5.png</image:loc>
              <image:caption>Physics question 5</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-simulations.html</loc>
            <lastmod>2020-01-17T23:47:04.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-teaching-resources.html</loc>
            <lastmod>2020-01-17T21:51:06.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-toys.html</loc>
            <lastmod>2020-01-17T21:53:04.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rattleback_innovatoys.jpg</image:loc>
              <image:caption>rattleback picture amazon</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/newtons_cradle_amazon.jpg</image:loc>
              <image:caption>newtons cradle picture amazon</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyroscope_innovatoys.jpg</image:loc>
              <image:caption>gyroscope picture amazon</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/maxwell_wheel_amazon.jpg</image:loc>
              <image:caption>maxwell wheel picture amazon</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/eulers_disk_amazon.jpg</image:loc>
              <image:caption>eulers disk picture amazon</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/physics-videos.html</loc>
            <lastmod>2021-09-18T00:41:29.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/plasma-ball.html</loc>
            <lastmod>2017-08-08T16:42:46.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/plasma_ball.jpg</image:loc>
              <image:caption>picture of plasma ball</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/potato-clock.html</loc>
            <lastmod>2017-08-09T14:30:42.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/potato_clock.jpg</image:loc>
              <image:caption>picture of potato clock</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/prism.html</loc>
            <lastmod>2017-08-09T14:47:00.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/prism.jpg</image:loc>
              <image:caption>picture of prism</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/projectile-motion-problems.html</loc>
            <lastmod>2017-08-11T15:28:47.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/projectile_motion_prob_1.png</image:loc>
              <image:caption>projectile motion problems figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/projectile_motion_prob_2.png</image:loc>
              <image:caption>projectile motion problems figure 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/projectile-motion-simulator.html</loc>
            <lastmod>2017-08-11T16:29:54.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/xy_time_projectile.png</image:loc>
              <image:caption>x and y position versus time for projectile motion simulation</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/screen_capture_projectile_motion.png</image:loc>
              <image:caption>screen capture of excel spreadsheet for projectile motion simulator</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/xy_projectile.png</image:loc>
              <image:caption>x and y position for projectile motion simulation</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/projectile-motion.html</loc>
            <lastmod>2017-08-12T18:32:58.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/projectile_motion_2.png</image:loc>
              <image:caption>projectile motion equations of a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/projectile_motion_1.png</image:loc>
              <image:caption>projectile motion of a particle</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/pulley-problems.html</loc>
            <lastmod>2017-08-12T19:26:28.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_2.png</image:loc>
              <image:caption>pulley problems figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_7.png</image:loc>
              <image:caption>pulley problems figure 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_1.png</image:loc>
              <image:caption>pulley problems figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_problem_aggregate.png</image:loc>
              <image:caption>hard pulley problem</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_9.png</image:loc>
              <image:caption>pulley problems figure 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_3.png</image:loc>
              <image:caption>pulley problems figure 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_4.png</image:loc>
              <image:caption>pulley problems figure 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_8.png</image:loc>
              <image:caption>pulley problems figure 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_5.png</image:loc>
              <image:caption>pulley problems figure 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/pulley_prob_6.png</image:loc>
              <image:caption>pulley problems figure 6</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/quantum-physics-for-kids.html</loc>
            <lastmod>2017-08-12T19:45:55.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/quantum_kids_4.png</image:loc>
              <image:caption>quantum physics many worlds 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/quantum_kids_6.png</image:loc>
              <image:caption>quantum physics fuzzy reality</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/quantum_kids_5.png</image:loc>
              <image:caption>quantum physics many worlds 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/radiometer.html</loc>
            <lastmod>2017-08-13T03:25:22.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/radiometer.jpg</image:loc>
              <image:caption>picture of radiometer</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/radius-of-gyration.html</loc>
            <lastmod>2017-08-13T03:37:42.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/radius_of_gyration_1.png</image:loc>
              <image:caption>Formula for moment of inertia using the radius of gyration</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/radius_of_gyration_4.png</image:loc>
              <image:caption>Formula for moment of inertia using the radius of gyration and radius of thin hoop</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/radius_of_gyration_3.png</image:loc>
              <image:caption>Thin hoop illustrating the radius of gyration</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/radius_of_gyration_2.png</image:loc>
              <image:caption>Formula for radius of gyration given I and m</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rainbow-in-my-room.html</loc>
            <lastmod>2017-08-13T03:50:22.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rainbow_in_my_room.jpg</image:loc>
              <image:caption>picture of rainbow in my room</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rattleback.html</loc>
            <lastmod>2017-08-15T01:35:55.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rattleback.jpg</image:loc>
              <image:caption>picture of rattleback</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rectilinear-motion.html</loc>
            <lastmod>2017-08-15T01:53:13.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_13.png</image:loc>
              <image:caption>Example acceleration of particle as function of time for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_11.png</image:loc>
              <image:caption>Example position of particle as function of time for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_5.png</image:loc>
              <image:caption>Integrate velocity to obtain position for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_7.png</image:loc>
              <image:caption>Equations for position and velocity for constant acceleration for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_4.png</image:loc>
              <image:caption>Integrate acceleration to obtain velocity for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_3.png</image:loc>
              <image:caption>Constant acceleration in terms of second derivative for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_8.png</image:loc>
              <image:caption>Equations for position and velocity for constant acceleration for rectilinear motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_12.png</image:loc>
              <image:caption>Example velocity of particle as function of time for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_2.png</image:loc>
              <image:caption>Rectilinear motion for a body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_10.png</image:loc>
              <image:caption>Second velocity equation for constant acceleration for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_6.png</image:loc>
              <image:caption>Solving for constants of integration in position and velocity equations for rectilinear motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_1.png</image:loc>
              <image:caption>Rectilinear motion for a particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rectilinear_motion_9.png</image:loc>
              <image:caption>Displacement equation for constant acceleration for rectilinear motion</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/relative-velocity-problems.html</loc>
            <lastmod>2018-04-05T22:46:21.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rel_velocity_2.png</image:loc>
              <image:caption>relative velocity problem figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rel_velocity_1.png</image:loc>
              <image:caption>relative velocity problem figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rel_velocity_3.png</image:loc>
              <image:caption>relative velocity problem figure 3</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/right-hand-rule.html</loc>
            <lastmod>2017-08-15T02:31:26.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_5.png</image:loc>
              <image:caption>Example problem illustrating the right hand rule</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_1.png</image:loc>
              <image:caption>Sign convention for the right hand rule</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_8.png</image:loc>
              <image:caption>Example force vector Fp for using right hand rule</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_3.png</image:loc>
              <image:caption>Vector cross product corresponding to the right hand rule</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_4.png</image:loc>
              <image:caption>Right hand rule technique</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_6.png</image:loc>
              <image:caption>Tail of vector r joined to tail of vector Fp for using right hand rule</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_9.png</image:loc>
              <image:caption>Example cross product multiplication of r and Fp for using right hand rule</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_2.png</image:loc>
              <image:caption>Example of incorrect sign convention for the right hand rule</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/right_hand_rule_7.png</image:loc>
              <image:caption>Example position vector r for using right hand rule</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rigid-body-dynamics.html</loc>
            <lastmod>2017-08-15T16:56:23.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_11.png</image:loc>
              <image:caption>angular velocity and angular acceleration for three dimensions 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_9.png</image:loc>
              <image:caption>calculating inertia terms for three dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_14.png</image:loc>
              <image:caption>diagram for rotation about a fixed point for two dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_2.png</image:loc>
              <image:caption>rigid body equations for two dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_13.png</image:loc>
              <image:caption>taking the limit to find angular acceleration for three dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_10.png</image:loc>
              <image:caption>angular velocity and angular acceleration for three dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_3.png</image:loc>
              <image:caption>rigid body experiencing a general state of motion due to external forces 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_4.png</image:loc>
              <image:caption>rigid body equations for three dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_12.png</image:loc>
              <image:caption>differentiating angular velocity to find angular acceleration for three dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_15.png</image:loc>
              <image:caption>diagram for rotation about a fixed point for three dimensions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_7.png</image:loc>
              <image:caption>product of inertia terms equal zero in principal directions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_5.png</image:loc>
              <image:caption>rigid body equations for three dimensions 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_8.png</image:loc>
              <image:caption>euler equations of motion in principal directions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_6.png</image:loc>
              <image:caption>calculating inertia terms for three dimensions 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_1.png</image:loc>
              <image:caption>rigid body experiencing a general state of motion due to external forces</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rigid_body_dynamics_16.png</image:loc>
              <image:caption>general moment equation for rotation about a fixed point for two dimensions</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rocket-physics.html</loc>
            <lastmod>2017-08-15T17:51:56.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_22.png</image:loc>
              <image:caption>final force balance for rocket body and rocket engine and propellant</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_9.png</image:loc>
              <image:caption>mathematical expr for impulse and momentum analysis of rocket system in a vacuum with no gravity 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_31.png</image:loc>
              <image:caption>total work required for exhaust and rocket traveling horizontally through the air at velocity v</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_16.png</image:loc>
              <image:caption>schematic for isolated rocket propellant plus exhaust</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_42.png</image:loc>
              <image:caption>expression for rocket velocity for traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_srb_separation_edit.jpg</image:loc>
              <image:caption>picture of staging for space shuttle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_39.png</image:loc>
              <image:caption>prin of work and energy applied to rocket plus prop and exh for rocket traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_3.png</image:loc>
              <image:caption>mathematical expression for impulse and momentum analysis of rocket system 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_43.png</image:loc>
              <image:caption>expression for rocket velocity for traveling through space between initial and final mass</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_40.png</image:loc>
              <image:caption>prin of work and energy applied to rocket plus prop and exh for rocket traveling through space 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_2.png</image:loc>
              <image:caption>mathematical expression for impulse and momentum analysis of rocket system</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_19.png</image:loc>
              <image:caption>force balance for isolated rocket engine</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_28.png</image:loc>
              <image:caption>work required for rocket traveling horizontally through the air at velocity v 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_artistsconcept_separation_edit.jpg</image:loc>
              <image:caption>picture of staging for rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_13.png</image:loc>
              <image:caption>general equation for rocket moving against air drag and gravity 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_41.png</image:loc>
              <image:caption>velocity of the exhaust exiting the rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_25.png</image:loc>
              <image:caption>work and energy balance for exhaust for rocket traveling horizontally through the air at velocity v</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_32.png</image:loc>
              <image:caption>total work required for exhaust and rocket traveling horizontally through the air at velocity v 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_21.png</image:loc>
              <image:caption>force balance for rocket body and rocket engine</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_29.png</image:loc>
              <image:caption>time t it takes for the rocket to travel a horizontal distance d</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_36.png</image:loc>
              <image:caption>final kinetic energy of rocket traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_1.png</image:loc>
              <image:caption>impulse and momentum analysis of rocket system between stages 1 and 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_apollo_15_launch_edit.jpg</image:loc>
              <image:caption>picture of apollo 15 rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_23.png</image:loc>
              <image:caption>thrust acting on rocket including the pressure thrust term</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_12.png</image:loc>
              <image:caption>general equation for rocket moving against air drag and gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_8.png</image:loc>
              <image:caption>mass of ejected exhaust equals the negative of mass change of rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_24.png</image:loc>
              <image:caption>schematic of rocket traveling horizontally through the air at velocity v</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_34.png</image:loc>
              <image:caption>total work required for exhaust and rocket traveling horizontally through the air at velocity v 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_33.png</image:loc>
              <image:caption>drag force acting on rocket traveling horizontally through the air at velocity v</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_30.png</image:loc>
              <image:caption>total mass of rocket exhaust over distance d</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_17.png</image:loc>
              <image:caption>force balance for isolated rocket propellant plus exhaust</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_15.png</image:loc>
              <image:caption>schematic for rocket engine</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_26.png</image:loc>
              <image:caption>work required for rocket traveling horizontally through the air at velocity v</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_38.png</image:loc>
              <image:caption>final kinetic energy of rocket plus exhaust gases for rocket traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_apollo_11_first_stage_separation_edit.jpg</image:loc>
              <image:caption>picture of staging for rocket apollo 11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_35.png</image:loc>
              <image:caption>initial kinetic energy of system for rocket traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_45.png</image:loc>
              <image:caption>power required for exhaust and rocket traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_14.png</image:loc>
              <image:caption>general equation for rocket moving against air drag and gravity 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_6.png</image:loc>
              <image:caption>mathematical expr for impulse and momentum analysis of rocket system in a vacuum with no gravity 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_20.png</image:loc>
              <image:caption>force balance for rocket body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_44.png</image:loc>
              <image:caption>total work required for exhaust and rocket traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_18.png</image:loc>
              <image:caption>schematic for isolated rocket engine</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_11.png</image:loc>
              <image:caption>schematic for rocket moving upward against atmospheric drag force and gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_4.png</image:loc>
              <image:caption>mathematical expr for impulse and momentum analysis of rocket system in a vacuum with no gravity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_37.png</image:loc>
              <image:caption>final kinetic energy of exhaust gases for rocket traveling through space</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_10.png</image:loc>
              <image:caption>mathematical expr for impulse and momentum analysis of rocket system in a vacuum with no gravity 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_7.png</image:loc>
              <image:caption>mathematical expr for impulse and momentum analysis of rocket system in a vacuum with no gravity 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_5.png</image:loc>
              <image:caption>thrust acting on the rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rocket_physics_27.png</image:loc>
              <image:caption>thrust for rocket traveling horizontally through the air at velocity v</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/roller-coaster-physics.html</loc>
            <lastmod>2017-08-15T18:22:40.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_11.png</image:loc>
              <image:caption>centripetal acceleration experienced by the riders on a roller coaster 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_5.png</image:loc>
              <image:caption>conservation of energy for roller coaster</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_2.jpg</image:loc>
              <image:caption>roller coaster descending a height h</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_4.png</image:loc>
              <image:caption>equation for kinetic energy of roller coaster</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_9.png</image:loc>
              <image:caption>centripetal acceleration experienced by the riders on a roller coaster going around a loop</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_6.png</image:loc>
              <image:caption>conservation of energy for roller coaster 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_7.png</image:loc>
              <image:caption>velocity of roller coaster</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_8.jpg</image:loc>
              <image:caption>roller coaster going around a loop</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_10.jpg</image:loc>
              <image:caption>roller coaster twisting around a track</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_of_roller_coasters_1.jpg</image:loc>
              <image:caption>picture of roller coasters</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/roller_coaster_physics_3.png</image:loc>
              <image:caption>equation for gravitational potential energy of roller coaster at height h</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rolling-resistance.html</loc>
            <lastmod>2017-08-15T21:55:16.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_28.png</image:loc>
              <image:caption>Fpy is equal to mg for rigid cylinder rolling at constant speed on non rigid surface without slip</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_14.png</image:loc>
              <image:caption>Fpy is equal to mg for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_5.png</image:loc>
              <image:caption>Moment equation for rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_3.png</image:loc>
              <image:caption>Newtons second law in y direction for rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_21.png</image:loc>
              <image:caption>Final equation for rigid cylinder rolling on non rigid surface without slipping 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_31.png</image:loc>
              <image:caption>Moment equation for rigid cylinder rolling at constant speed on non rigid surface without slipping 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_7.png</image:loc>
              <image:caption>Moment equation for rigid cylinder rolling on rigid surface without slipping 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_22.png</image:loc>
              <image:caption>Moment of inertia about G for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_18.png</image:loc>
              <image:caption>Relationship between ang acc and aGx for rigid cylinder rolling on non rigid surface without slip</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_29.png</image:loc>
              <image:caption>Moment equation for rigid cylinder rolling at constant speed on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_8.png</image:loc>
              <image:caption>Relationship between ang acc and aGx for rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_4.png</image:loc>
              <image:caption>Newtons second law in y direction for rigid cylinder rolling on rigid surface without slipping 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_15.png</image:loc>
              <image:caption>Moment equation for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_30.png</image:loc>
              <image:caption>Sum of moments about G for rigid cyl rolling at constant speed on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_33.png</image:loc>
              <image:caption>Solving for F for rigid cylinder rolling at constant speed on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_25.png</image:loc>
              <image:caption>Schematic for rigid cylinder rolling at constant speed on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_11.png</image:loc>
              <image:caption>Schematic of a rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_27.png</image:loc>
              <image:caption>Newtons sec law in y direction for rigid cyl rolling at cons speed on non rigid surface without slip</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_12.png</image:loc>
              <image:caption>Newtons second law in x direction for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_16.png</image:loc>
              <image:caption>Sum of moments about G for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_19.png</image:loc>
              <image:caption>Equation for Fpx for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_26.png</image:loc>
              <image:caption>Newtons sec law in x direction for rigid cyl rolling at cons speed on non rigid surface without slip</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_13.png</image:loc>
              <image:caption>Newtons second law in y direction for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_23.png</image:loc>
              <image:caption>Final equation for rigid cylinder rolling on non rigid surface without slipping 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_2.png</image:loc>
              <image:caption>Newtons second law in x direction for rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_6.png</image:loc>
              <image:caption>Sum of moments about G for rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_24.png</image:loc>
              <image:caption>Solving for angular acceleration for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_32.png</image:loc>
              <image:caption>Moment equation for rigid cylinder rolling at constant speed on non rigid surface without slipping 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_20.png</image:loc>
              <image:caption>Final equation for rigid cylinder rolling on non rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_17.png</image:loc>
              <image:caption>Moment equation for rigid cylinder rolling on non rigid surface without slipping 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_10.png</image:loc>
              <image:caption>Final equation for rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_1.png</image:loc>
              <image:caption>Schematic of a rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_resistance_9.png</image:loc>
              <image:caption>Equation for Fpx for rigid cylinder rolling on rigid surface without slipping</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rolling-without-slipping.html</loc>
            <lastmod>2017-08-16T04:07:53.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_6.png</image:loc>
              <image:caption>Vo equals wr for rolling without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_4.png</image:loc>
              <image:caption>General equation for relative vel of point P with respect to point O for rolling with possible slip</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_5.png</image:loc>
              <image:caption>Vo equals Vrel for rolling without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_2.png</image:loc>
              <image:caption>Schematic for rolling without slipping 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_7.png</image:loc>
              <image:caption>ao equals alpha times r for rolling without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_3.png</image:loc>
              <image:caption>General equation for velocity of point P with respect to ground for rolling with possible slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_1.png</image:loc>
              <image:caption>Schematic for rolling without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_without_slipping_8.png</image:loc>
              <image:caption>Schematic showing rolling without slipping on a curved surface</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rolling.html</loc>
            <lastmod>2017-08-26T23:43:34.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_3.png</image:loc>
              <image:caption>equations for rolling with slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_2.png</image:loc>
              <image:caption>equations for rolling without slipping</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rolling_1.png</image:loc>
              <image:caption>rolling wheel</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rotational-inertia.html</loc>
            <lastmod>2017-08-17T22:15:11.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_inertia_5.png</image:loc>
              <image:caption>common rotational inertia values 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_inertia_3.png</image:loc>
              <image:caption>rotational inertia integral</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_inertia_2.png</image:loc>
              <image:caption>rotational inertia equations</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_inertia_4.png</image:loc>
              <image:caption>parallel axis theorem for calculating rotational inertia</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_inertia_1.png</image:loc>
              <image:caption>rotational inertia of rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_inertia_6.png</image:loc>
              <image:caption>common rotational inertia values 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/rotational-motion.html</loc>
            <lastmod>2017-08-17T22:40:21.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_11.png</image:loc>
              <image:caption>Example angular velocity of particle as function of time for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_9.png</image:loc>
              <image:caption>Second angular velocity equation for constant angular acceleration for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_5.png</image:loc>
              <image:caption>Solving for constants in angular position and angular velocity equations for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_13.png</image:loc>
              <image:caption>Velocity and acceleration of a particle traveling in a circle with rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_1.png</image:loc>
              <image:caption>Rotational motion for a rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_10.png</image:loc>
              <image:caption>Example angular position of particle as function of time for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_6.png</image:loc>
              <image:caption>Equations for angular position and velocity for constant angular acceleration for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_12.png</image:loc>
              <image:caption>Example angular acceleration of particle as function of time for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_7.png</image:loc>
              <image:caption>Equations for angular position and velocity for constant angular acceleration for rotational motion2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_2.png</image:loc>
              <image:caption>Constant angular acceleration in terms of second derivative for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_4.png</image:loc>
              <image:caption>Integrate angular velocity to obtain angular position for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_8.png</image:loc>
              <image:caption>Angular displacement equation for constant angular acceleration for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_3.png</image:loc>
              <image:caption>Integrate angular acceleration to obtain angular velocity for rotational motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotational_motion_14.png</image:loc>
              <image:caption>Velocity and acceleration of a particle traveling in a circle with rotational motion 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/salt-water-fuel-cell-car.html</loc>
            <lastmod>2017-08-17T22:51:20.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/salt_water_fuel_cell_car.jpg</image:loc>
              <image:caption>picture of salt water fuel cell car</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/science-experiments.html</loc>
            <lastmod>2017-08-18T18:42:08.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/cracking_ice.jpg</image:loc>
              <image:caption>cracking ice experiment</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/laminar_flow_faucet.jpg</image:loc>
              <image:caption>laminar flow for faucet stream experiment</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vibrating_ruler.jpg</image:loc>
              <image:caption>vibrating ruler experiment</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/evaporative_cooling.jpg</image:loc>
              <image:caption>evaporative cooling experiment</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/infinite_reflections.jpg</image:loc>
              <image:caption>infinite reflections using two mirrors experiment</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/science-fair-project-ideas.html</loc>
            <lastmod>2017-08-18T19:30:35.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_21.jpg</image:loc>
              <image:caption>science fair project homemade ac 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_32.jpg</image:loc>
              <image:caption>science fair project solar collector 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_10.jpg</image:loc>
              <image:caption>science fair project hovercraft 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_2.jpg</image:loc>
              <image:caption>science fair project insulation testing 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_27.jpg</image:loc>
              <image:caption>science fair project radiant cooling 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_3.jpg</image:loc>
              <image:caption>science fair project insulation testing 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_17.jpg</image:loc>
              <image:caption>science fair project homemade ac 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_19.jpg</image:loc>
              <image:caption>science fair project homemade ac 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_12.jpg</image:loc>
              <image:caption>science fair project cement curing 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_9.jpg</image:loc>
              <image:caption>science fair project hovercraft 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_4.jpg</image:loc>
              <image:caption>science fair project calcium chloride 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_31.jpg</image:loc>
              <image:caption>science fair project solar collector 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_36.jpg</image:loc>
              <image:caption>science fair project solar collector 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_28.jpg</image:loc>
              <image:caption>science fair project parabolic dish 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_26.jpg</image:loc>
              <image:caption>science fair project radiant cooling 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_24.jpg</image:loc>
              <image:caption>science fair project insulation testing 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_34.jpg</image:loc>
              <image:caption>science fair project solar collector 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_23.jpg</image:loc>
              <image:caption>science fair project insulation testing 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_18.jpg</image:loc>
              <image:caption>science fair project homemade ac 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_14.jpg</image:loc>
              <image:caption>science fair project cement curing 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_22.jpg</image:loc>
              <image:caption>science fair project insulation testing 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_16.jpg</image:loc>
              <image:caption>science fair project calcium chloride 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_7.jpg</image:loc>
              <image:caption>science fair project barometer</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_29.jpg</image:loc>
              <image:caption>science fair project parabolic dish 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_20.jpg</image:loc>
              <image:caption>science fair project homemade ac 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_8.jpg</image:loc>
              <image:caption>science fair project hovercraft 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_33.jpg</image:loc>
              <image:caption>science fair project solar collector 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_11.jpg</image:loc>
              <image:caption>science fair project cement curing 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_6.jpg</image:loc>
              <image:caption>science fair project calcium chloride 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_35.jpg</image:loc>
              <image:caption>science fair project solar collector 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_13.jpg</image:loc>
              <image:caption>science fair project cement curing 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_30.jpg</image:loc>
              <image:caption>science fair project solar collector 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_5.jpg</image:loc>
              <image:caption>science fair project calcium chloride 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_project_ideas_1.jpg</image:loc>
              <image:caption>science fair project insulation testing 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/science-quiz.html</loc>
            <lastmod>2017-08-18T19:54:27.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_19.png</image:loc>
              <image:caption>science quiz multiple choice problem 19</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_17.png</image:loc>
              <image:caption>science quiz multiple choice problem 17</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_12.png</image:loc>
              <image:caption>science quiz multiple choice problem 12</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_13.png</image:loc>
              <image:caption>science quiz multiple choice problem 13</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_20.png</image:loc>
              <image:caption>science quiz multiple choice problem 20</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_9.png</image:loc>
              <image:caption>science quiz multiple choice problem 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_6.png</image:loc>
              <image:caption>science quiz multiple choice problem 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_5.png</image:loc>
              <image:caption>science quiz multiple choice problem 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_1.png</image:loc>
              <image:caption>science quiz multiple choice problem 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_4.png</image:loc>
              <image:caption>science quiz multiple choice problem 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_25.png</image:loc>
              <image:caption>science quiz multiple choice problem 25</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_7.png</image:loc>
              <image:caption>science quiz multiple choice problem 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_21.png</image:loc>
              <image:caption>science quiz multiple choice problem 21</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_8.png</image:loc>
              <image:caption>science quiz multiple choice problem 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_16.png</image:loc>
              <image:caption>science quiz multiple choice problem 16</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_10.png</image:loc>
              <image:caption>science quiz multiple choice problem 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_2.png</image:loc>
              <image:caption>science quiz multiple choice problem 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_14.png</image:loc>
              <image:caption>science quiz multiple choice problem 14</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_22.png</image:loc>
              <image:caption>science quiz multiple choice problem 22</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_3.png</image:loc>
              <image:caption>science quiz multiple choice problem 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_15.png</image:loc>
              <image:caption>science quiz multiple choice problem 15</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_18.png</image:loc>
              <image:caption>science quiz multiple choice problem 18</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_11.png</image:loc>
              <image:caption>science quiz multiple choice problem 11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_24.png</image:loc>
              <image:caption>science quiz multiple choice problem 24</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/science_quiz_23.png</image:loc>
              <image:caption>science quiz multiple choice problem 23</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/science-teaching-resources.html</loc>
            <lastmod>2017-08-19T18:17:23.000000Z</lastmod>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/science-toys.html</loc>
            <lastmod>2017-08-19T19:58:34.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/stomp_rocket_small.jpg</image:loc>
              <image:caption>small picture of stomp rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_small.jpg</image:loc>
              <image:caption>small picture of water rocket</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hand_boiler_small.jpg</image:loc>
              <image:caption>small picture of hand boiler</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/dynamo_torch_small.jpg</image:loc>
              <image:caption>small picture of dynamo torch</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/mirascope_small.jpg</image:loc>
              <image:caption>small picture of mirascope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/fly_stick_small.jpg</image:loc>
              <image:caption>small picture of fly stick</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/balancing_bird_small.jpg</image:loc>
              <image:caption>small picture of balancing bird</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/spinning_top_small.jpg</image:loc>
              <image:caption>small picture of spinning top</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/drinking_bird_small.jpg</image:loc>
              <image:caption>small picture of drinking bird</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/toy_microscope_small.jpg</image:loc>
              <image:caption>small picture of toy microscope</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/slinky_small.jpg</image:loc>
              <image:caption>small picture of a slinky</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/salt_water_fuel_cell_car_small.jpg</image:loc>
              <image:caption>small picture of salt water fuel cell car</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/boomerang_small.jpg</image:loc>
              <image:caption>small picture of boomerang</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gyro_ring_small.jpg</image:loc>
              <image:caption>small picture of gyro ring</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/prism_small.jpg</image:loc>
              <image:caption>small picture of prism</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/galileo_thermometer_small.jpg</image:loc>
              <image:caption>small picture of galileo thermometer</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ufo_ball_small.jpg</image:loc>
              <image:caption>small picture of ufo ball</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/hoberman_sphere_small.jpg</image:loc>
              <image:caption>small picture of hoberman sphere</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/solar_bag_small.jpg</image:loc>
              <image:caption>small picture of solar bag</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/balsa_glider_small.jpg</image:loc>
              <image:caption>small picture of balsa glider</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tippe_top_small.jpg</image:loc>
              <image:caption>small picture of tippe top</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/diffraction_glasses_small.jpg</image:loc>
              <image:caption>small picture of diffraction glasses</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/levitron_small.jpg</image:loc>
              <image:caption>small picture of levitron</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ooze_tube_small.jpg</image:loc>
              <image:caption>small picture of ooze tube</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/chaos_tower_small.jpg</image:loc>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/moon_in_my_room_small.jpg</image:loc>
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            <image:image>
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            <image:image>
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            <image:image>
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              <image:caption>small picture of eulers disk</image:caption>
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              <image:caption>small picture of rainbow in my room</image:caption>
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            <image:image>
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            <image:image>
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              <image:caption>small picture of toy hovercraft</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rattleback_small.jpg</image:loc>
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            <lastmod>2017-08-20T19:50:21.000000Z</lastmod>
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            <lastmod>2017-08-20T17:16:59.000000Z</lastmod>
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            <image:image>
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            <image:image>
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              <image:caption>slingshot picture</image:caption>
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            <image:image>
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            <loc>https://www.real-world-physics-problems.com/slinky.html</loc>
            <lastmod>2017-08-20T17:41:31.000000Z</lastmod>
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            <lastmod>2017-08-21T20:12:11.000000Z</lastmod>
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            <lastmod>2017-08-21T20:39:25.000000Z</lastmod>
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            <image:image>
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            <image:image>
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              <image:caption>flat plate solar collector as way to utilize solar energy</image:caption>
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            <image:image>
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              <image:caption>parabolic solar reflector made at home 2</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/solar_kids_4.jpg</image:loc>
              <image:caption>stirling engine picture showing solar energy use</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/solar_kids_7.jpg</image:loc>
              <image:caption>parabolic solar reflector made at home</image:caption>
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            <image:image>
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            <image:image>
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              <image:caption>sun picture showing solar energy</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/solar_kids_9.jpg</image:loc>
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            <lastmod>2017-08-21T21:10:26.000000Z</lastmod>
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            <image:image>
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            <image:image>
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            <image:image>
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            <loc>https://www.real-world-physics-problems.com/solar-flares.html</loc>
            <lastmod>2017-08-22T01:53:44.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/aurora_borealis.jpg</image:loc>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/coronal_mass_ejection.jpg</image:loc>
              <image:caption>coronal mass ejection</image:caption>
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            <loc>https://www.real-world-physics-problems.com/solo-build-it-review.html</loc>
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            <loc>https://www.real-world-physics-problems.com/spinning-top.html</loc>
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            <image:image>
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            <lastmod>2021-02-14T20:06:40.000000Z</lastmod>
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            <image:image>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/gamma_engine_pic.png</image:loc>
              <image:caption>gamma stirling engine</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/suncatcher_ses.jpg</image:loc>
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            <loc>https://www.real-world-physics-problems.com/stomp-rocket.html</loc>
            <lastmod>2017-08-24T19:57:25.000000Z</lastmod>
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            <loc>https://www.real-world-physics-problems.com/theory-of-gravity.html</loc>
            <lastmod>2025-11-05T22:21:17.000000Z</lastmod>
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            <loc>https://www.real-world-physics-problems.com/thermodynamics-for-kids.html</loc>
            <lastmod>2017-08-25T14:57:18.000000Z</lastmod>
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              <image:caption>thermodynamics for kids piston schematic</image:caption>
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            <lastmod>2017-07-23T20:26:11.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/thermo_prob_7_drop_tower.jpg</image:loc>
              <image:caption>thermodynamics problems drop tower</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/thermo_prob_3_stirling_dish.jpg</image:loc>
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            <loc>https://www.real-world-physics-problems.com/thunder-tube.html</loc>
            <lastmod>2017-08-25T15:12:49.000000Z</lastmod>
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            <lastmod>2017-08-26T18:13:43.000000Z</lastmod>
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              <image:caption>tidal energy figure 3</image:caption>
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            <loc>https://www.real-world-physics-problems.com/tim-bird.html</loc>
            <lastmod>2017-08-26T18:50:32.000000Z</lastmod>
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            <loc>https://www.real-world-physics-problems.com/tippe-top.html</loc>
            <lastmod>2017-08-26T19:02:28.000000Z</lastmod>
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            <loc>https://www.real-world-physics-problems.com/tornado-tube.html</loc>
            <lastmod>2017-08-26T23:06:14.000000Z</lastmod>
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            <lastmod>2018-03-05T20:05:10.000000Z</lastmod>
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              <image:caption>torque problem figure 2</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/torque_prob_8.png</image:loc>
              <image:caption>torque problem figure 8</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/torque_prob_6.png</image:loc>
              <image:caption>torque problem figure 6</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/torque_prob_4.png</image:loc>
              <image:caption>torque problem figure 4</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/torque_prob_7.png</image:loc>
              <image:caption>torque problem figure 7</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/torque_prob_1.png</image:loc>
              <image:caption>torque problem figure 1</image:caption>
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            <loc>https://www.real-world-physics-problems.com/torque.html</loc>
            <lastmod>2017-08-26T23:36:45.000000Z</lastmod>
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              <image:caption>torque diagram</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/torque_2.png</image:loc>
              <image:caption>torque equations</image:caption>
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            <loc>https://www.real-world-physics-problems.com/toy-gyroscope.html</loc>
            <lastmod>2017-08-27T19:34:45.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/toy_gyroscope.jpg</image:loc>
              <image:caption>picture of a toy gyroscope</image:caption>
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            <loc>https://www.real-world-physics-problems.com/toy-hovercraft.html</loc>
            <lastmod>2017-08-28T01:29:34.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/toy_hovercraft.jpg</image:loc>
              <image:caption>picture of a toy hovercraft</image:caption>
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            <loc>https://www.real-world-physics-problems.com/toy-microscope.html</loc>
            <lastmod>2017-08-28T01:47:28.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/toy_microscope.jpg</image:loc>
              <image:caption>picture of a toy microscope</image:caption>
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            <loc>https://www.real-world-physics-problems.com/toy-telescope.html</loc>
            <lastmod>2017-08-28T02:04:43.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/toy_telescope.jpg</image:loc>
              <image:caption>picture of a toy telescope</image:caption>
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            <loc>https://www.real-world-physics-problems.com/trebuchet-physics.html</loc>
            <lastmod>2019-04-02T16:17:16.000000Z</lastmod>
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              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_1.png</image:loc>
              <image:caption>trebuchet launch 1</image:caption>
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            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_18.png</image:loc>
              <image:caption>expression for trebuchet d2</image:caption>
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              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_16.png</image:loc>
              <image:caption>pythagorean theorem for x-coordinate of trebuchet payload</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_2.png</image:loc>
              <image:caption>trebuchet launch 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_22.png</image:loc>
              <image:caption>payload lifts off from trebuchet guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_20.png</image:loc>
              <image:caption>Newtons Second Law for trebuchet payload</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_17.png</image:loc>
              <image:caption>expression for trebuchet d1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_8.png</image:loc>
              <image:caption>Newtons Second Law for trebuchet counterweight</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/trebuchet.jpg</image:loc>
              <image:caption>trebuchet picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_7.png</image:loc>
              <image:caption>acceleration of trebuchet counterweight</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_12.png</image:loc>
              <image:caption>parallel axis theorem for trebuchet beam</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_19.png</image:loc>
              <image:caption>acceleration of trebuchet payload</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_5.png</image:loc>
              <image:caption>free body diagram of trebuchet counterweight</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_6.png</image:loc>
              <image:caption>coordinates of trebuchet counterweight</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_25.png</image:loc>
              <image:caption>acceleration of trebuchet payload with no guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_24.png</image:loc>
              <image:caption>coordinates of trebuchet payload with no guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_21.png</image:loc>
              <image:caption>expression for alpha on trebuchet guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_11.png</image:loc>
              <image:caption>summing the moments about P for trebuchet beam</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_9.png</image:loc>
              <image:caption>Newtons Second Law for trebuchet counterweight for x and y directions</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_13.png</image:loc>
              <image:caption>free body diagram of trebuchet payload with guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_26.png</image:loc>
              <image:caption>Newtons Second Law for trebuchet payload in x and y directions with no guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_23.png</image:loc>
              <image:caption>free body diagram of trebuchet payload with no guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_10.png</image:loc>
              <image:caption>free body diagram of trebuchet beam</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_15.png</image:loc>
              <image:caption>x coordinate of trebuchet payload</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_3.png</image:loc>
              <image:caption>trebuchet launch 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_14.png</image:loc>
              <image:caption>schematic of trebuchet payload on guide chute</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/physics_trebuchet_4.png</image:loc>
              <image:caption>beginning of trebuchet launch with guide chute</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/trebuchet-simulator.html</loc>
            <lastmod>2018-12-21T19:17:39.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/screen_capture_trebuchet.png</image:loc>
              <image:caption>screen capture of excel spreadsheet for trebuchet simulator</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/maximum_distance_chart_trebuchet.png</image:loc>
              <image:caption>maximum distance chart for trebuchet throw</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/tube-bending.html</loc>
            <lastmod>2017-08-28T19:05:26.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/tube_bend_pic.jpg</image:loc>
              <image:caption>bent tube picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/3d_tube_bend.png</image:loc>
              <image:caption>screen capture of ls prepost view of bent tube</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/rotary_draw_bender_pic.png</image:loc>
              <image:caption>rotary draw tube bending picture</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/ufo-antigravity-field.html</loc>
            <lastmod>2025-08-24T04:13:10.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity8.png</image:loc>
              <image:caption>antigravity field image 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity10.png</image:loc>
              <image:caption>antigravity field image 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity6.png</image:loc>
              <image:caption>antigravity field image 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity1.png</image:loc>
              <image:caption>antigravity field image 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity7.png</image:loc>
              <image:caption>antigravity field image 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity5.png</image:loc>
              <image:caption>antigravity field image 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity3.png</image:loc>
              <image:caption>antigravity field image 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity2.png</image:loc>
              <image:caption>antigravity field image 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity9.png</image:loc>
              <image:caption>antigravity field image 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity4.png</image:loc>
              <image:caption>antigravity field image 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/antigrav_field_velocity11.png</image:loc>
              <image:caption>antigravity field image 11</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/ufo-ball.html</loc>
            <lastmod>2017-08-30T01:14:58.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/ufo_ball.jpg</image:loc>
              <image:caption>picture of a ufo ball</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/uniform-motion-problems.html</loc>
            <lastmod>2018-03-20T15:15:01.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/uniform_mot_prob_fig_2.png</image:loc>
              <image:caption>uniform motion problem figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/uniform_mot_prob_fig_1.png</image:loc>
              <image:caption>uniform motion problem figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/vector-derivative.html</loc>
            <lastmod>2017-08-30T18:19:40.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_17.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 13</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_26.png</image:loc>
              <image:caption>General vector derivative 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_18.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 14</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_11.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_21.png</image:loc>
              <image:caption>General vector derivative</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_16.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 12</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_5.png</image:loc>
              <image:caption>Example problem showing use of vector derivative</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_1.png</image:loc>
              <image:caption>Vectors for angular velocity and angular acceleration for vector derivative</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_4.png</image:loc>
              <image:caption>Take the limit as time approaches zero to find the angular acceleration for vector derivative</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_24.png</image:loc>
              <image:caption>General vector derivative 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_14.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_22.png</image:loc>
              <image:caption>General vector derivative 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_3.png</image:loc>
              <image:caption>Angular acc is the difference in the angular vel vector over a small time step for vector derivative</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_10.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_7.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_25.png</image:loc>
              <image:caption>General vector derivative 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_23.png</image:loc>
              <image:caption>General vector derivative 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_15.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_2.png</image:loc>
              <image:caption>Vector components for angular velocity and angular acceleration for vector derivative</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_9.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_20.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 16</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_6.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_19.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 15</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_12.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_8.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/vector_derivative_13.png</image:loc>
              <image:caption>Example problem showing use of vector derivative 9</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/velocity-problems.html</loc>
            <lastmod>2017-08-31T00:33:36.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/velocity_prob_9.png</image:loc>
              <image:caption>velocity problem merry go round</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/water-from-air.html</loc>
            <lastmod>2019-07-22T17:21:10.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/CC_water_from_air.jpg</image:loc>
              <image:caption>picture of solid calcium chloride</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/CC_water_from_air_2.png</image:loc>
              <image:caption>water from air using calcium chloride 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/CC_water_from_air_1.png</image:loc>
              <image:caption>water from air using calcium chloride 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/water-rocket-physics.html</loc>
            <lastmod>2017-08-31T01:08:22.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_11.png</image:loc>
              <image:caption>water rocket physics 11</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_7.png</image:loc>
              <image:caption>water rocket physics 7</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_12.png</image:loc>
              <image:caption>water rocket physics 12</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_1.png</image:loc>
              <image:caption>water rocket physics schematic</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_13.png</image:loc>
              <image:caption>water rocket physics 13</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_5.png</image:loc>
              <image:caption>water rocket physics 5</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_2.png</image:loc>
              <image:caption>water rocket physics 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_16.png</image:loc>
              <image:caption>water rocket physics 16</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_8.png</image:loc>
              <image:caption>water rocket physics 8</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_17.png</image:loc>
              <image:caption>water rocket physics 17</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_6.png</image:loc>
              <image:caption>water rocket physics 6</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_10.png</image:loc>
              <image:caption>water rocket physics 10</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_4.png</image:loc>
              <image:caption>water rocket physics 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_3.png</image:loc>
              <image:caption>water rocket physics 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_9.png</image:loc>
              <image:caption>water rocket physics 9</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_14.png</image:loc>
              <image:caption>water rocket physics 14</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket_physics_15.png</image:loc>
              <image:caption>water rocket physics 15</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/water-rocket.html</loc>
            <lastmod>2017-08-31T14:46:16.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/water_rocket.jpg</image:loc>
              <image:caption>picture of a water rocket</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/wave-energy-for-kids.html</loc>
            <lastmod>2017-08-31T15:29:48.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/wave_kids_pelamis.jpg</image:loc>
              <image:caption>wave power generating station picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/wave_kids_2.png</image:loc>
              <image:caption>wave energy figure 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/wave_kids_1.png</image:loc>
              <image:caption>wave energy figure 1</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/wind-energy-for-kids.html</loc>
            <lastmod>2017-08-31T15:24:08.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/wind_kids_turbine.jpg</image:loc>
              <image:caption>wind turbine picture</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/wind_kids_1.png</image:loc>
              <image:caption>wind energy figure 1</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/wind_kids_2.png</image:loc>
              <image:caption>wind energy figure 2</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/work-and-energy.html</loc>
            <lastmod>2017-08-31T15:46:08.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_5.png</image:loc>
              <image:caption>force and work for mass and spring</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_8.png</image:loc>
              <image:caption>equation for work for rotating body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_6.png</image:loc>
              <image:caption>kinetic energy for particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_10.png</image:loc>
              <image:caption>equation for instantaneous power for rotating body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_3.png</image:loc>
              <image:caption>non-constant force acting on particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_4.png</image:loc>
              <image:caption>instantaneous power acting on particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_1.png</image:loc>
              <image:caption>constant force acting on particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_9.png</image:loc>
              <image:caption>equation for kinetic energy for rotating body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_2.png</image:loc>
              <image:caption>force acting at angle on particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_and_kinetic_energy_7.png</image:loc>
              <image:caption>diagram of rotating body for work and kinetic energy</image:caption>
            </image:image>
      </url>
      <url>
            <loc>https://www.real-world-physics-problems.com/work.html</loc>
            <lastmod>2017-08-31T16:38:53.000000Z</lastmod>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_20.png</image:loc>
              <image:caption>Work done by elastic spring acting on particle from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_16.png</image:loc>
              <image:caption>Total work done on particle by nonconstant force acting at an angle to the displacement 3</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_5.png</image:loc>
              <image:caption>Schematic for work done on particle by nonconstant force acting at an angle to the displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_19.png</image:loc>
              <image:caption>Work done by gravity acting on particle from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_7.png</image:loc>
              <image:caption>Differential work done on particle by nonconstant force acting at an angle to the displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_25.png</image:loc>
              <image:caption>Work term for total work done on the rigid body from A to B is due to external forces</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_33.png</image:loc>
              <image:caption>Work done by gravity acting on rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_13.png</image:loc>
              <image:caption>Velocity of particle is equal to rate of change of delta s with respect to time</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_37.png</image:loc>
              <image:caption>Magnitude of force couple moment doing work on body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_45.png</image:loc>
              <image:caption>Schematic of work done by elastic spring acting on particle from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_8.png</image:loc>
              <image:caption>Total work done on particle by nonconstant force acting at an angle to the displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_26.png</image:loc>
              <image:caption>Kinetic energy equation taken from page on kinetic energy for general three dimensional motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_4.png</image:loc>
              <image:caption>Work done on particle by constant force acting at an angle to the displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_42.png</image:loc>
              <image:caption>Zero work is done if the force acts at 90 degrees to the displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_36.png</image:loc>
              <image:caption>Schematic showing a force couple doing work on a body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_3.png</image:loc>
              <image:caption>Schematic for work done on particle by constant force acting at an angle to the displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_44.png</image:loc>
              <image:caption>Schematic of work done by gravity acting on particle from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_10.png</image:loc>
              <image:caption>Total work done on particle by nonconstant force acting at an angle to the displacement 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_48.png</image:loc>
              <image:caption>Instantaneous power that is acting on particle</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_49.png</image:loc>
              <image:caption>Instantaneous power that is acting on rotating rigid body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_34.png</image:loc>
              <image:caption>Work done by elastic spring acting on rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_12.png</image:loc>
              <image:caption>Reformulate above equation using the chain rule of Calculus</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_46.png</image:loc>
              <image:caption>Schematic of work done by gravity acting on rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_28.png</image:loc>
              <image:caption>Kinetic energy at position B of rigid body for general three dimensional motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_9.png</image:loc>
              <image:caption>Newtons second law applied to particle traveling path from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_1.png</image:loc>
              <image:caption>Schematic for work done on particle by constant force acting in same direction as displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_14.png</image:loc>
              <image:caption>New equation relating tangential acceleration to particle velocity</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_39.png</image:loc>
              <image:caption>Magnitude of work done by constant Mo acting on body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_23.png</image:loc>
              <image:caption>Sum over all the particles in the rigid body to find the total work done from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_32.png</image:loc>
              <image:caption>Work term for external forces acting on the rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_15.png</image:loc>
              <image:caption>New equation relating tangential acceleration to particle velocity 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_47.png</image:loc>
              <image:caption>Schematic of work done by elastic spring acting on rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_18.png</image:loc>
              <image:caption>Work term from A to B due to nonconstant force acting on particle at an angle to the displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_29.png</image:loc>
              <image:caption>Kinetic energy at position A of rigid body for general three dimensional motion</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_6.png</image:loc>
              <image:caption>Schematic for work done on particle by nonconstant force acting at an angle to the displacement 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_17.png</image:loc>
              <image:caption>Total work done on particle by nonconstant force acting at an angle to the displacement 4</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_30.png</image:loc>
              <image:caption>Kinetic energy at position A of rigid body for general three dimensional motion 2</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_24.png</image:loc>
              <image:caption>Work term for total work done on the rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_35.png</image:loc>
              <image:caption>Total work done by gravity and elastic spring acting on rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_31.png</image:loc>
              <image:caption>Total work done by external forces is equal to change in kinetic energy of rigid body from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_38.png</image:loc>
              <image:caption>Magnitude of work done by force couple moment acting on body</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_11.png</image:loc>
              <image:caption>Derivative of particle velocity is equal to tangential acceleration along curve from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_22.png</image:loc>
              <image:caption>General equation for the work done on a particle i from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_2.png</image:loc>
              <image:caption>Work done on particle by constant force acting in same direction as displacement</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_21.png</image:loc>
              <image:caption>Total work done by gravity and elastic spring acting on particle from A to B</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_43.png</image:loc>
              <image:caption>For rolling without slipping the friction force at P does no work</image:caption>
            </image:image>
            <image:image>
              <image:loc>https://www.real-world-physics-problems.com/images/work_27.png</image:loc>
              <image:caption>Kinetic energy at position B of rigid body for general three dimensional motion</image:caption>
            </image:image>
      </url>
</urlset>
