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27 July, 15:03

Problem 10.64 the maximum energy a bone can absorb without breaking is surprisingly small. for a healthy human of mass 67 kg, experimental data show that the leg bones can absorb about 200 j. part a from what maximum height could a person jump and land rigidly upright on both feet without breaking his legs? assume that all the energy is absorbed in the leg bones in a rigid landing. neglect any friction.

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  1. 27 July, 15:21
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    Answer: h = 0.30 m

    Explanation:

    A person jumping from height h would possess potential energy = m g h

    which will convert completely into kinetic energy as person hits the ground. Now, the maximum energy absorbed by the person can be = 200 J

    m = 67 kg

    g = 9.8 m/s²

    ⇒ m g h = 200 J

    ⇒ h = 200 J / (67 kg * 9.8 m/s²) = 0.30 m

    Hence, a person can land safely on both legs without breaking them from a height of 0.30 m only.
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