Maximum height could a person jump and land rigidly upright on both feet without breaking his legs: h = 0.30 m
Briefly:
Potential energy = m g h would be present in a jumper at height h, and as the jumper hits the ground, this potential energy will totally transform into kinetic energy. Now, the human can only absorb a maximum of 200 J of energy.
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
Therefore, a person can only fall from a height of 0.30 m safely and without breaking both of their legs.
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Question:-
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?