Respuesta :
Answer:
505.62 mm
Explanation:
Young's modulus of a material is given by,
[tex]Y=\frac{Stress}{Strain}[/tex]
Stress is the force experienced by the material per unit area (which is why stress has the same units as pressure).
Strain is the ratio between the change in length/area/volume to the original length/area/volume of the material (and hence a dimensionless quantity). Basically, it gives us a measure of the change in dimensions due to the stress experienced.
So, for the given problem,
[tex]Y=\frac{Stress}{\Delta L/L}[/tex]
or, [tex]1.8\times100=\frac{1.59\times108}{\Delta L/0.53}[/tex] (since we need to find the compression of the bone at the critical stress point)
or, [tex]\Delta L=\frac{1.59\times108\times0.53}{1.8\times100} m=0.50562m=505.62mm[/tex]
