A 0.3 kg tennis ball is travelling west with a speed of 4 m/s and bounces off a wall. After bouncing, the ball is travelling east at 2 m/s. The tennis ball was in contact with the wall for 0.004 seconds.

a) What is the initial and final momentum of the ball?
b) What is the direction and magnitude of the force the ball experienced due to the wall?
c) What is the direction and magnitude of the force the wall experienced due to the ball?

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To answer these questions, we need to apply the principles of conservation of momentum and impulse.

a) The initial momentum of the ball can be calculated using the formula:

Initial Momentum = mass * initial velocity

Given that the mass of the ball is 0.3 kg and the initial velocity is 4 m/s, we can calculate the initial momentum:

Initial Momentum = 0.3 kg * 4 m/s = 1.2 kg·m/s

The final momentum of the ball can also be calculated using the formula:

Final Momentum = mass * final velocity

Given that the mass of the ball is 0.3 kg and the final velocity is -2 m/s (since it's traveling east), we can calculate the final momentum:

Final Momentum = 0.3 kg * (-2 m/s) = -0.6 kg·m/s

Note: The negative sign indicates that the direction of the final momentum is opposite to that of the initial momentum.

b) The force experienced by the ball due to the wall can be determined using the impulse-momentum principle:

Impulse = Change in Momentum = Final Momentum - Initial Momentum

Given that the change in momentum is equal to the impulse experienced by the ball, we can calculate the impulse:

Impulse = (-0.6 kg·m/s) - (1.2 kg·m/s) = -1.8 kg·m/s

The force experienced by the ball can be obtained by dividing the impulse by the time of contact:

Force = Impulse / Time

Given that the time of contact is 0.004 seconds, we can calculate the force:

Force = -1.8 kg·m/s / 0.004 s = -450 N

The negative sign indicates that the force is in the opposite direction of the ball's motion, so the force is directed towards the west.

c) According to Newton's third law of motion, for every action, there is an equal and opposite reaction. Therefore, the force experienced by the wall due to the ball must be the same magnitude but in the opposite direction.

So, the force experienced by the wall due to the ball is 450 N, directed towards the east.