Physics - W.E.P. Question with Solution | TestHub

Energy stored in a spring is given by

$\mathrm{U}=\left(\frac{1}{2}\right){\mathrm{kx}}^2$..........(1)

Where$\mathrm{k}$is the spring constant

Now, applying Hooke's law, we have

Tension,$\mathrm{T}=\mathrm{kx}$(in magnitude)

$\Rightarrow$extension$\mathrm{x}=\frac{\mathrm{T}}{\mathrm{k}}$

Substituting the value in equation (1), we get

$\mathrm{U}=\frac{1}{2}\frac{{\mathrm{T}}^2}{\mathrm{k}}$.