# How are work and a change in energy related?

(Hint : Use the notion of time rate of change of kinetic energy $\frac{\mathrm{dK}}{\mathrm{dt}}$, simplify and proceed.You may need to use $F = M a$ once. Finally you should arrive at the integral, ${\int}_{K {\text{_i)^(K}}_{f}} \mathrm{dK} = {\int}_{0}^{x} F \cdot \mathrm{dx}$ . This shall do it.