Q.
If $u_{1}$ and $u_{2}$ be the initial velocities and $v_{1}$, and $v_{2}$ be the final velocities of the colliding particles then we define coefficient of restitution $e$ as:$e=-\frac {v_{1}-v_{2}}{u_{1}-u_{2}}$
For perfectly inelastic collision $'e'$ is
Work, Energy and Power
Solution: