Take \(g=10\,\mathrm{m\,s^{-2}}\).

A \(10\,\mathrm{kg}\) block is at rest on a rough plane inclined at \(30^\circ\). A force of \(120\,\mathrm N\) acts at \(20^\circ\) above a line of greatest slope, as shown. There is a force resisting its motion, and \(200\,\mathrm J\) of work is done against this force when the block has moved \(5\,\mathrm m\) up the plane from rest.

Find the speed after it has moved 5 m up the plane. [5]