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

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xero099 xero099 · Answer 2 · 2021-10-30T20:29:26+02:00

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 ([tex]F[/tex]), in newtons, is determined by the following formula derived from definition of uniform stress:

[tex]F = \sigma_{C}\cdot A_{e}[/tex] (1)

Where:

[tex]\sigma_{C}[/tex] - Compressive stress, in pascals.
[tex]A_{e}[/tex] - Effective area, in square meters.

If we know that [tex]\sigma_{C} = 170\times 10^{6}\,\frac{N}{m}[/tex] and [tex]A_{e} = 3.0\times 10^{-4}\,m^{2}[/tex], then the maximum compressive force is:

[tex]F = \left(170\times 10^{6}\,\frac{N}{m^{2}} \right)\cdot (3.0\times 10^{-4}\,m^{2})[/tex]

[tex]F = 51000\,N[/tex]

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