A 40 kg boy jumps from a height of 3.0 m, lands on one foot and comes to rest in 0.10 s after he hits the ground. Assume that he comes to rest with a constant acceleration opposite to the motion. If the total cross-sectional area of the bones in his legs just above his ankles is 3.0 cm2, what is the compression stress in these bones? Leg bones can be fractured when they are subjected to stress greater than 1.7\times 108 Pa. Is the boy in danger of breaking his leg.

Physics for Scientists and Engineers: Foundations and Connections
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Chapter14: Static Equilibrium, Elasticity, And Fracture
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Problem 40PQ: A brass wire and a steel wire, both of the same length, are extended by 1.0 mm under the same force....
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A 40 kg boy jumps from a height of 3.0 m, lands on one foot and comes to rest in 0.10 s after he hits the ground.
Assume that he comes to rest with a constant acceleration opposite to the motion. If the total cross-sectional area of the
bones in his legs just above his ankles is 3.0 cm2, what is the compression stress in these bones? Leg bones can be
fractured when they are subjected to stress greater than 1.7\times 108 Pa. Is the boy in danger of breaking his leg.
Transcribed Image Text:A 40 kg boy jumps from a height of 3.0 m, lands on one foot and comes to rest in 0.10 s after he hits the ground. Assume that he comes to rest with a constant acceleration opposite to the motion. If the total cross-sectional area of the bones in his legs just above his ankles is 3.0 cm2, what is the compression stress in these bones? Leg bones can be fractured when they are subjected to stress greater than 1.7\times 108 Pa. Is the boy in danger of breaking his leg.
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