Question

Prove that the change in kinetic energy of a body is equal to the work done by an external force acting on the body ?

Answer 1

$w=F\times S$
$=m\times a\times s$.
$=m\frac{(v^2-u^2)}{2}$
$=m\frac{\Delta v^2}{2}$
$ue=\frac{1}{2}m{v}^2$
$\Delta uE=\frac{1}{2}m{v}^2\frac{-1}{2}m{u}^2$