Q. 14

# Two billiard balls A and B, each of mass 50g and moving in opposite directions with speed of 5m s-1 each, collide and rebound with the same speed. If the collision lasts for 10-3 s, which of the following statements are true?A. The impulse imparted to each ball is 0.25 kg m s-1 and the force on each ball is 250 N.B. The impulse imparted to each ball is 0.25 kg m s-1 and the force exerted on each ball is 25 × 10-5 N.C. The impulse imparted to each ball is 0.5 Ns.D. The impulse and the force on each ball are equal in magnitude and opposite in direction.

Given that speed of each ball v=5 m/s and mass of each ball m=0.005 kg.

So initial momentum of each ball

The direction of the velocity of each ball is reversed after the collision so final momentum of each ball

So from above result it is obvious that option (d) is correct.

As we know change in momentum of each ball is equal to impulse imparted to each ball

So from here we can say options (a) and (b) are wrong and option (d) is correct.

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