$A$ cricket ball of mass $500\, g$ collides with a bat with speed $15\, m/s$ and returns with the same speed within $0.01\, s$. The force acted on the bat is ............ $N$.

$A$ body of mass $m$ collides against a wall with a velocity $v$ and rebounds with the same speed. Its change of momentum is

$A$ student attempts to pull himself up by tugging on his hair. He will not succeed because:

$A$ particle moves in the $x-y$ plane under the action of a force $\overrightarrow{F}$ such that the value of its linear momentum $\overrightarrow{P}$ at any time $t$ is $P_x = 2\cos t$ and $P_y = 2\sin t$. The angle $\theta$ between $\overrightarrow{F}$ and $\overrightarrow{P}$ at a given time $t$ will be $\theta = $ ........... $^o$.

Which force acts on a body first: action or reaction?

$A$ batsman hits back a ball straight in the direction of the bowler without changing its initial speed of $12 \; m/s$. If the mass of the ball is $0.15 \; kg$,determine the impulse (in $N \cdot s$) imparted to the ball. (Assume linear motion of the ball)