A stone of mass $m$ is tied to a string of length $l$ and rotated in a circle with a constant speed $v$. If the string is released, the stone flies

In two different experiments, an object of mass $5\; kg$ moving with a speed of $25\; ms ^{-1}$ hits two different walls and comes to rest within

$(i)$ $3$ second, $(ii)$ $5$ seconds, respectively.

Choose the correct option out of the following :

A particle of mass $m$, initially at rest, is acted upon by a variable force $F$ for a brief interval of time $T$. It begins to move with a velocity $u$ after the force stops acting. $F$ is shown in the graph as a function of time. The curve is a semicircle.

$A$ boy hits $a$ baseball with $a$ bat and imparts an impulse $J$ to the ball. The boy hits the ball again with the same force, except that the ball and the bat are in contact for twice the amount of time as in the first hit. The new impulse equals:

A rigid ball of mass $m$ strikes a rigid wall at $60^o $ and gets reflected without loss of speed as shown in the figure. The value of impulse imparted by the wall on the ball will be

If two balls each of mass $0.06 \,kg$ moving in opposite directions with speed $4 \,m/s$ collide and rebound with the same speed, then the impulse imparted to each ball due to other is ...........  $kg-m/s$