Chapter 2, Problem 2.40NP

(a)

Interpretation Introduction

Interpretation:The k in Hooke’s law needs to be related to Young’s modulus.

Concept Introduction:

Young's modulus relates the elastic strain with elastic stress. It is the factor of proportionality in Hooke's law.Young's modulus is also called as the elastic modulus. It indicates the number of measurement of the resistance of a material to being elastically deformed. Here, elasticity represents the deformation of object by application of force and again back to original position. Strain is measured as the ratio of change in length and the original length of the object whereas stress is the force applied per unit area and represents by symbol s.

(b)

Interpretation Introduction

Interpretation:The following equation needs to be derived from the result in part (a).

  $\text{w = }\frac{\text{1}}{\text{2}}{\left(\frac{\text{ΔL}}{{\text{L}}_{\text{0}}}\right)}^{\text{2}}\text{E}\times {\text{A}}_{\text{0}}\times {\text{L}}_{\text{0}}$

Concept Introduction:

Young's modulus relates the elastic strain with elastic stress. It is the factor of proportionality in Hooke's law.Young's modulus is also called as the elastic modulus. It indicates the number of measurement of the resistance of a material to being elastically deformed. Here elasticity represents the deformation of object by application of force and again back to original position. Strain is measured as the ratio of change in length and the original length of the object whereas stress is the force applied per unit area and represents by symbol s.