The energy stored in a strained wire is given by

One end of a slack wire (Young's modulus $Y$,length $L$ and cross-sectional area $A$) is clamped to a rigid wall and the other end to a block (mass $m$),which rests on a smooth horizontal plane. The block is set in motion with a speed $v$. What is the maximum distance the block will travel after the wire becomes taut?

$A$ wire of length $1 \, m$ and Young's modulus $Y = 2.0 \times 10^{11} \, N/m^2$ is fixed between two rigid supports. If its temperature is increased by $100 ^\circ C$,what is the energy stored in the wire? (Given: $\alpha = 18 \times 10^{-6} \, ^\circ C^{-1}$,$A = 1 \, cm^2$)

$A$ rubber pipe of density $1.5 \times 10^3 \, kg/m^3$ and Young's modulus $5 \times 10^6 \, N/m^2$ is suspended from the roof. The length of the pipe is $8 \, m$. What will be the change in length due to its own weight?

The work done per unit volume to stretch a wire of cross-sectional area $2 \, mm^2$ by $2 \%$ is ....... $MJ/m^3$. Given: Young's modulus $Y = 8 \times 10^{10} \, N/m^2$.

The work done in stretching an elastic wire per unit volume is