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.

Question

Physics

Rayan Wong

27 March, 15:43

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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Answers (1)

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Nathan Huynh · Answer 1

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.