This question has Statement $1$ and Statement $2$. Of the four choices given after the Statements, choose the one that best describes the two Statements.

Statement $1$: If you push on a cart being pulled by a horse so that it does not move, the cart pushes you back with an equal and opposite force.

Statemf'nt $2$: The cart does not move because the force described in statement $1$ cancel each other

$A$ 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 batsman hits back a ball of mass $0.4 \; kg$ straight in the direction of the bowler without changing its initial speed of $15 \; ms ^{-1}$. The impulse imparted to the ball is $\dots \; Ns$

The time in which a force of $2 \,N$ produces a change of momentum of $0.4\,kg – m{s^{ – 1}}$ in the body is ……… $\sec$

A ball of weight $0.1\, kg$ coming with speed $30\, m/s$ strikes with a bat and returns in opposite direction with speed $40 \,m/s$, then the impulse is (Taking final velocity as positive)