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Larger animals have sturdier bones than smaller animals. A mouse\'s skeleton is

ID: 2219812 • Letter: L

Question

Larger animals have sturdier bones than smaller animals. A mouse's skeleton is only a few percent of its body weight, compared to 16% for an elephant. To see why this must be so, recall, that the stress on the femur for a man standing on one leg is 1.4% of the bone's tensile strength. Suppose we scale this man up by a factor of 10 in all dimensions, keeping the same body proportions. (Assume that a 70 Kg person has a femur with a cross-section area (of the cortical bone) of ,4.8x10^-4 m^2 a typical value.) A.Both the inside and outside diameter of the femur, the region of cortical bone, will increase by a factor of 10. What will be the new cross-section area? B.The man's body will increase by a factor of 10 in each dimension. What will be his new mass?

Explanation / Answer

Just did this on mastering physics, here are the correct answers:

A: 4.8*10^-2

B: 7.0*10^4

C: 14%