A moving railway compartment has a spring of constant k is fixed to its front wall. A boy stretches this spring by distance x and in the mean time the compartment moves by a distance s. The work done by boy w.r.t. earth is : |
\(\frac{1}{2}kx^2\) \(\frac{1}{2}kxs\) \(\frac{1}{2}(kx)(s+x)\) \(\frac{1}{2}(kx)(s+x+s)\) |
\(\frac{1}{2}kx^2\) |
By Conservation of Energy : Work done by the boy = Energy stored in spring = \(\frac{1}{2}kx^2\) |