The compressivestrength of our bones is important in everyday life. Young’s modulus forbone is about 1.4 * 10^10 Pa. Bone can take only about a 1.0% changein its length before fracturing. (a) What is the maximum force that canbe applied to a bone whose minimum cross-sectional area is 3.0 cm2?(This is approximately the cross-sectional area of a tibia, or shin bone,at its narrowest point.) (b) Estimate the maximum height from which a70 kg man could jump and not fracture his tibia. Take the time betweenwhen he first touches the floor and when he has stopped to be 0.030 s,and assume that the stress on his two legs is distributed equally.
The compressivestrength of our bones is important in everyday life. Young’s modulus forbone is about 1.4 * 10^10 Pa. Bone can take only about a 1.0% changein its length before fracturing. (a) What is the maximum force that canbe applied to a bone whose minimum cross-sectional area is 3.0 cm2?(This is approximately the cross-sectional area of a tibia, or shin bone,at its narrowest point.) (b) Estimate the maximum height from which a70 kg man could jump and not fracture his tibia. Take the time betweenwhen he first touches the floor and when he has stopped to be 0.030 s,and assume that the stress on his two legs is distributed equally.
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The compressive
strength of our bones is important in everyday life. Young’s modulus for
bone is about 1.4 * 10^10 Pa. Bone can take only about a 1.0% change
in its length before fracturing. (a) What is the maximum force that can
be applied to a bone whose minimum cross-sectional area is 3.0 cm2
?
(This is approximately the cross-sectional area of a tibia, or shin bone,
at its narrowest point.) (b) Estimate the maximum height from which a
70 kg man could jump and not fracture his tibia. Take the time between
when he first touches the floor and when he has stopped to be 0.030 s,
and assume that the stress on his two legs is distributed equally.
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