Bone has a Young's modulus of about 18 ×10^9 Pa. Under compression, it can withstand a stress o

Name: Problem 7, Chapter 9: College Physics
Uploaded: 2021-08-30T04:04:48-08:00
Duration: 1 min 17 s
Channel: Prabhu Ramji
Description: Bone has a Young's modulus of about 18 ×10^9 Pa. Under compression, it can withstand a stress of about 160 ×10^6 Pa before breaking. Assume that a femur (thighbone) is 0.50 m long, and calculate the amount of compression this bone can withstand before breaking.

step 1 This problem covers the hook's law and the compressive stress is given by this equation f upon i

Question

Bone has a Young's modulus of about $18 \times 10^{9} \mathrm{~Pa}$. Under compression, it can withstand a stress of about 160 $\times 10^{6} \mathrm{~Pa}$ before breaking. Assume that a femur (thighbone) is $0.50 \mathrm{~m}$ long, and calculate the amount of compression this bone can withstand before breaking.

   Bone has a Young's modulus of about $18 \times 10^{9} \mathrm{~Pa}$. Under compression, it can withstand a stress of about 160 $\times 10^{6} \mathrm{~Pa}$ before breaking. Assume that a femur (thighbone) is $0.50 \mathrm{~m}$ long, and calculate the amount of compression this bone can withstand before breaking.

College Physics

Raymond A. Serway,… 8th Edition

Chapter 9, Problem 7

Instant Answer

Solved by Expert Prabhu Ramji

08/30/2021

Step 1

The formula is given by: \[ \text{Stress} = \text{Young's modulus} \times \text{Strain} \] or equivalently, \[ \text{Strain} = \frac{\text{Stress}}{\text{Young's modulus}} \] Show more…

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Bone has a Young's modulus of about $18 \times 10^{9} \mathrm{~Pa}$. Under compression, it can withstand a stress of about 160 $\times 10^{6} \mathrm{~Pa}$ before breaking. Assume that a femur (thighbone) is $0.50 \mathrm{~m}$ long, and calculate the amount of compression this bone can withstand before breaking.

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Key Concepts

Hooke's Law

Hooke's Law states that, within the elastic limit of a material, the deformation (or strain) is directly proportional to the applied stress. This linear relationship allows for the prediction and calculation of material deformation, such as compression or elongation, when subjected to specific forces.

Young's Modulus

Young's modulus is a measure of a material’s stiffness, representing the ratio of stress to strain in the elastic deformation region. It quantifies how resistant a material is to being deformed when a load is applied and is fundamental in calculating the deformation under applied forces.

Stress and Strain

Stress is the force applied per unit area on a material, and strain is the measure of deformation representing the relative change in the material’s dimensions compared to its original size. Understanding stress and strain is crucial in analyzing how materials react to various loads.

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