Ncert Exercises & Solutions

Question 5.18:

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed $6 m s^{- 1}$ collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?

Mass of each ball = 0.05 kg

Initial velocity of each ball = 6 m/s

Magnitude of the initial momentum of each ball, $p_{i}$ = 0.3 kg m/s

After the collision, the balls change their directions of motion without changing the

magnitudes of their velocity.

Final momentum of each ball, $p_{f}$ = –0.3 kg m/s

Impulse imparted to each ball = Change in the momentum of the system

= $p_{f} - p_{i}$

= –0.3 – 0.3 = –0.6 kg m/s

The negative sign indicates that the impulses imparted to the balls are opposite in direction.

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