The femur bone in the human leg has a minimum effective cross section of about 3.0 cm^2. How much compressive force can it wthstand before breaking? (compressive strength of bone= 170 x 10^6 N/m)
Pressure or Stress = Force / Area More than 1000 tons of force is needed to shatter a femur. "Landing from a jump exerts half a ton of force within your femur."
I think you are missing some information here. Were you given the stress value?
P = F/A
170 x 10^6 N/m^2 = F/(0.03 m^2)
F = 5.10 x 10^6 N
The femur bone can withstand of force up to 51000 newtons before breaking.
The femur bone is made of a ceramic material, an anisotropic material, which means that tensive and compressive stresses are different to each other. The maximum compressive force (\(F\)), in newtons, is determined by the following formula derived from definition of uniform stress:
\(F = \sigma_{C}\cdot A_{e}\) (1)
Where:
If we know that \(\sigma_{C} = 170\times 10^{6}\,\frac{N}{m}\) and \(A_{e} = 3.0\times 10^{-4}\,m^{2}\), then the maximum compressive force is:
\(F = \left(170\times 10^{6}\,\frac{N}{m^{2}} \right)\cdot (3.0\times 10^{-4}\,m^{2})\)
\(F = 51000\,N\)
The femur bone can withstand of force up to 51000 newtons before breaking.
We kindly invite to check this question on ceramic materials: https://brainly.com/question/1474266