Question

A smooth block of mass $m$ moves up from bottom to top of a wedge which is moving with an acceleration $a_0$. Find the work done by the pseudo force measured by the person sitting at the edge of the wedge.

Answer 1

Dispalcement by block $\sqrt{l^2+h^2}$

Work done by pseudo force

$={\overrightarrow{F}}_{pseudo}\ast \overrightarrow{d}$

$=F\ast dcos\theta$

$=m{a}_0\ast \sqrt{l^2+h^2}\ast \frac{l}{\sqrt{l^2+h^2}}$

$=m{a}_{0}l$