A tennis player hits a ball with an initial velocity of 20 m/s. The ball rebounds with the same speed in the opposite direction. Calculate the change in momentum and impulse imparted to the ball.
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The change in momentum is equal to the final momentum minus the initial momentum.
Since the ball rebounds with the same speed in the opposite direction, the final velocity is -20 m/s.
The initial momentum is given by the mass of the ball multiplied by the initial velocity. Let's assume the mass of the ball is 0.5 kg.
Initial momentum = (mass) x (initial velocity) = 0.5 kg x 20 m/s = 10 kg.m/s
The final momentum is given by the mass of the ball multiplied by the final velocity.
Final momentum = (mass) x (final velocity) = 0.5 kg x (-20 m/s) = -10 kg.m/s
Therefore, the change in momentum = final momentum - initial momentum
= (-10 kg.m/s) - (10 kg.m/s)
= -20 kg.m/s
The impulse imparted to the ball is equal to the change in momentum. Therefore, the impulse imparted to the ball is -20 kg.m/s.
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