Answer :

The momentum of the ball can be calculated as

p = m× v


Where,


‘m’ is the mass of the ball


‘v’ is the velocity of the ball.


Given,


Mass of each billiard ball, m = 0.05 kg


Initial velocity of each ball, u = 6 m/s


The initial momentum, pi, of each ball is


Pi = m× u= 0.05 kg × 6 m/s


pi = 0.3 kg m/s


The balls rebound after the collision thus, they change directions but the magnitude of the velocity remains the same,


Now,


Final velocity of each ball, v = -6 m/s


The final momentum, pf of each ball is,


pf= m× v = 0.05 kg × -6 m/s


pf = -0.3 kg m/s


Impulse imparted to each ball, ‘I’ = change in the momentum of the system


I= pf - pi = (-0.3 – 0.3) kg m/s


I= -0.6 kg m/s


The negative sign is because the impulse imparted to each of the balls are in opposite directions.


the impulse imparted to each ball due to the other is 0.6 N in opposite directions.


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