The compressive strength of our bones is important in everyday life. Young\'s mo
ID: 2226360 • Letter: T
Question
The compressive strength of our bones is important in everyday life. Young's modulus for bone is approximately 14.0Gpa . Bone can take only about a 1.00% in its length before fracturing. If Hooke's law were to hold up to fracture. Part A What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.00cm2 . (This is approximately the cross-sectional area of a tibia, or shinbone, at its narrowest point.) = N Part B Estimate the maximum height from which a 70.0kg man can jump and not fracture the tibia. Take the time between when he first touches the floor and when he has stopped to be 2.80Explanation / Answer
E = stress/ strain A) strain = 0.01 E = 14*10^9 Pa stress = E*strain = 14*10^7 Pa Force = stress* area = 14*10^7 * 3*10^-4 = 42*10^3 N = 42 KN =42000 N B)v^2 = 2*g*h a = v/(2.8*10^-2) F = ma = 42000 N a = 42000/70 v= 42000*2.8*10^-2 /70 = 16.8 m/s h = v^2/2g = 14.4 m
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