Two bodies of different masses have the same kinetic energy. Prove that the heavier body has momentum greater than the lighter one.

A ball of $1 \mathrm{kg}$ drops vertically on the floor with a speed of $25 \mathrm{m}/\mathrm{s}$. It rebounds with a velocity of $10{ \mathrm{ms}}^{-1}$.

What impulse acts on the ball during contact?

A ball of $1 \mathrm{kg}$ drops vertically on the floor with a speed of $25 \mathrm{m}/\mathrm{s}$. It rebounds with a velocity of $10{ \mathrm{ms}}^{-1}$. If the ball is in contact for $0.02 s$, what is the average force exerted on the floor? 

A block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $m$. A force $P$ is applied to the other end of the rope. Find the acceleration of the block and the rope.

A block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $m$. A force $P$ is applied to the other end of the rope: Find the force that the rope exerts on the block $M$ in terms of $P, M$ and $m$.

A cricket ball of mass $100 \mathrm{gm}$ and moving with a velocity of $400 \mathrm{cm}/\mathrm{s}$ is brought to rest by a player in $0.01 s$. Find the impulse.