Larger animals have sturdier bones that 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 is so, consider a 70 kg man standing on one leg. The cross sectional area of his femur is 4.8x10-4 m2. Bone has a compressive strength of 1.00 x 108 N/m2. Please answer/label each part of the question clearly a, b, c etc a. What maximum force can act on his femur? (Give your answer in kN.) b. How many times greater is this force than the man’s weight? c. Now consider a giant man scaled up by a factor of 10 in all dimensions. What maximum force can act on the scaled up femur? (Give your answer in kN.) d. The man’s body will increase by a factor of 10 in each dimension. What will be his new weight? (Give your answer in kN.) e. If the scaled up man now stands on one leg, how many times greater is the maximum force than the man’s increased weight?
Larger animals have sturdier bones that 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 is so, consider a 70 kg man standing on one leg. The cross sectional area of his femur is 4.8x10-4 m2. Bone has a compressive strength of 1.00 x 108 N/m2. Please answer/label each part of the question clearly a, b, c etc
a. What maximum force can act on his femur? (Give your answer in kN.)
b. How many times greater is this force than the man’s weight?
c. Now consider a giant man scaled up by a factor of 10 in all dimensions. What maximum force can act on the scaled up femur? (Give your answer in kN.)
d. The man’s body will increase by a factor of 10 in each dimension. What will be his new weight? (Give your answer in kN.)
e. If the scaled up man now stands on one leg, how many times greater is the maximum force than the man’s increased weight?
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