Define (i) Elasticity; (ii) Young's… | Physics

Question 1 Report

Define (i) Elasticity; (ii) Young's modulus; (iii) Force constant.

Answer

Answer Details

(i) Elasticity

Elasticity is the ability of a material to regain its original shape and size after the deforming force applied to it has been removed.

(ii) Young's modulus

Young's modulus is the ratio of tensile stress to tensile strain for a material stretched within its elastic (proportional) limit:

\[ Y = \frac{\text{tensile stress}}{\text{tensile strain}} = \frac{F/A}{e/L} = \frac{FL}{Ae} \]

Its unit is \(\text{Nm}^{-2}\) (pascal).

(iii) Force constant

The force constant (elastic/spring constant) is the force required to produce unit extension in a material obeying Hooke's law:

\[ k = \frac{F}{e} \]

Its unit is \(\text{Nm}^{-1}\).

Define (i) Elasticity; (ii) Young's modulus; (iii) Force constant.