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The potential energy he lost on the descent = M g H = (21.2) (9.8) (3.5) = 727.16 joules

The kinetic energy he had at the bottom = 1/2 M V2 = (0.5) (21.2) (2.1)2 = 46.746 joules

The missing energy = (727.16 - 46.746) = 680.414 joules caused heating of the slide and the kid's pants.

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14y ago
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8y ago

Use conservation of energy to solve this one. Calculate the gravitational potential energy at the top, and the kinetic energy at the bottom. The difference has been lost to friction, i.e., converted to thermal energy.

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7y ago

The answer depends on the coefficient of friction between the child's clothing and the slide as well as the speed with which the child reaches the bottom of the slide.

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Q: A 21.2 kg child descends a slide 3.5 m high and reaches the bottom with a speed of 2.1 ms How much thermal energy due to friction was generated in this process?
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