# Question #050a0

Dec 4, 2016

Let the height of the inclined plane be $h$ and length of the inclined plane be $l$.

If $m$ represents mass of the block and $g$ represents acceleration due to gravity, then weight of the body will be $w = m g$

The work done in raising the block to the top of the plane by applying force $m g$ along the plane is given by $m g l$ (assuming the plane is frictionless).When the block reaches at the top it will have both KE and PE.

As the block reaches at height h it will gain gravitational PE $= m g h$

Hence

$m g h + K E = m g l$

$\implies K E = m g \left(l - h\right)$