# Physics and only Physics

**Classical Mechanics**Level 2

A particle of mass \(m\) is acted on by a force in such a way that it moves in a straight line with its velocity varying with the distance travelled according to the equation \(v=k\sqrt x\) where \(k\) is a constant.

Find the work done by the force over the displacement \(x=0 \) to \(x=d.\)