Handle with care!

A wire of area of cross - section $3 \text{ mm}^2$ and natural length $50 \text { cm}$ is fixed at one end and a mass of $2.1 \text { kg}$ is hung from the other end. Find the elastic potential energy (in joules) stored in the wire in steady state.

Young's modulus of the material of the wire = $1.9 \times {10}^{11} \text{ Nm}^{-2}$ .

Take $g = 10 \text{ ms}^{-2}$ .