A particle of mass $m$ moving with velocity $u$ makes an elastic one dimensional collision with a stationary particle of mass $m$. They are in contact for a very short time $T$. Their force of interaction increases from zero to $F_0$ linearly in time $T/2$, and decreases linearly to zero in further time $T/2$. The magnitude of $F_0$ is

A women throws an object of mass $500\,g$ with a speed of $25\, ms^{-1}$.

$(a)$ What is the impulse imparted to the object ?

$(b)$ If the object hits a wall and rebounds with half the original speed, what is the change in momentum of the object ?

A stone is dropped from a height $h.$ It hits the ground with a certain momentum $P.$ If the same stone is dropped from a height $100\%$ more than the previous height, the momentum when it hits the ground will change by  ……….. $\%$

How can we draw a two objects $FBD$ according to Newton’s third law ?

A body of mass $‘M’$ collides against a wall with a velocity $v$ and retraces its path with the same speed. The change in momentum is (take initial direction of velocity as positive)