Question

The mass of a regulation tennis ball is 57 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms . (this number can also vary, depending on the racket and swing.) we shall assume a 30.0 ms contact time. one of the fastest-known served tennis balls was served by "big bill" tilden in 1931, and its speed was measured to be 73 m/s . suppose that the positive direction of the x -axis is along the direction of motion of the ball after big bill's hit. a) 4.161 kg m/s

b) 3.657 kg m/s
c) 4.281 kg m/s
d) 3.221 kg m/s

Answer 1

The mass of a regulation tennis ball is 57 g (although it can vary slightly), and tests have shown that the ball is in contact with the tennis racket for 30 ms, the average force is A. 4.161 kg m/s.

Step-by-step explanation:

The mass of a regulation tennis ball is 57 g (0.057 kg) and the ball is in contact with the tennis racket for 30 ms.

The speed of the ball after being hit is 73 m/s.

To find the average force exerted on the ball, we can use the equation:

Force = (Change in momentum) / (Change in time)

Since the initial momentum of the ball is zero (as it is hit when its velocity is zero at the highest point of its toss), we can calculate the change in momentum as:

Change in momentum = (mass of the ball) * (final velocity of the ball)

Substituting the given values:

Change in momentum = (0.057 kg) * (73 m/s) = 4.161 kg m/s

Therefore, the correct answer is 4.161 kg m/s (option a).