Match the scenarios involving impulse and momentum with the correct calculation or related concept. List - I List - II (P) A ball of mass m strikes a wall normally with speed v and rebounds with the s

Question

Match the scenarios involving impulse and momentum with the correct calculation or related concept.

List - I	List - II
(P) A ball of mass $m$ strikes a wall normally with speed $v$ and rebounds with the same speed. The magnitude of the impulse imparted by the wall to the ball is...	(1) $F Δ t$
(Q) A force $F$ acts on a particle for a time $Δ t$ . The change in momentum of the particle is...	(2) $2 m v$
(R) A machine gun fires $N$ bullets per second, each of mass $m$ and speed $v$ . The average force exerted on the gun to keep it in position is...	(3) Change in momentum
(S) The area under the force-time ( $F - t$ ) graph for a variable force acting on a body represents the...	(4) $N m v$

TestHub · Accepted Answer

For P, the change in momentum is m ( − v ) − m ( v ) = − 2 m v . The magnitude of impulse is ∣Δ p ∣ = 2 m v . For Q, by the impulse-momentum theorem, impulse J = Δ p = F Δ t . For R, the total momentum change per second is N m v . This equals the average force exerted on the gun. For S, the area under the force-time graph is ∫ F d t , which represents the impulse, and by the impulse-momentum theorem, it is equal to the change in momentum.

Physics - Center of Mass Question with Solution | TestHub

Options:

Doubts & Discussion