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Chapter 1: Q17DQ (page 263)

A tennis player hits a tennis ball with a racket. Considerthe system made up of the ball and the racket. Is the total momentumof the system the same just before and just after the hit? Is thetotal momentum just after the hit the same as 2 s later, when the ballis in midair at the high point of its trajectory? Explain any differencesbetween the two cases.

Short Answer

Expert verified

The external forces are acting on the system, so the momentum of the system is not conserved.

The momentum just after the hit will not be the same as 2s later.

Step by step solution

01

Conservation of momentum

According to the rule of conservation of momentum, in an isolated system, the combined momentum of two or more bodies operating upon one another stays constant unless an external force is introduced. Determining momentum is impossible since it cannot be done.

02

Discussion.

There are two external forces on the system one is gravity, which is directed downward, and a force exerted by the player on the rocket.

Since there is a net external force acting on the system so total momentum of the system is not conserved.

Since after the hit gravity is still active on the ball, so due to the vertical external force vertical component of momentum is not conserved. So total momentum will change after 2s of the hit.

Hence the momentum just after the hit will not be the same as 2s later.

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