A ball is dropped from a height of $20\,m$. If the coefficient of restitution for the collision between ball and floor is $0.5$, after hitting the floor, the ball rebounds to a height of $.............m$.

What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary particle of $5$ times its mass? (Assume the collision to be head-on elastic collision)

A mass $'m'$ moves with a velocity $'v'$ and collides inelastically with another identical mass in rest. After collision the $I^{st}$ mass moves with velocity $\frac{v}{{\sqrt 3 }}$ in a direction perpendicular to the initial direction of motion. Find the speed of the $2^{nd}$ mass after collision

A heavy body moving with a velocity $30\, m/s$ and another small object at rest undergo  an elastic collision. The latter will move with a velocity of .............. $\mathrm{m}/ \mathrm{s}$

A body of mass ${M}$ moving at speed ${V}_{0}$ collides elastically with a mass $'m'$ at rest. After the collision, the two masses move at angles $\theta_{1}$ and $\theta_{2}$ with respect to the initial direction of motion of the body of mass ${M}$. The largest possible value of the ratio ${M} / {m}$, for which the angles $\theta_{1}$ and $\theta_{2}$ will be equal, is :

A sphere of mass $m $ moving with a constant velocity $u$ hits another stationary sphere of the same mass. If $e$  is the coefficient of restitution, then the ratio of the velocity of two spheres after collision will be