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.

Answer 1

To find the mass of the tennis ball, we can use the equation: Force = (mass * final velocity) / (contact time). Given that the force exerted by the racket is 540 N, the final velocity of the ball is 45.0 m/s, and the contact time is 5.00 ms, the mass of the tennis ball is found to be 0.060 kg.

Step-by-step explanation:

To find the mass of the tennis ball, we can use the equation: Force = (mass * final velocity) / (contact time). Given that the force exerted by the racket is 540 N, the final velocity of the ball is 45.0 m/s, and the contact time is 5.00 ms, we can substitute these values into the equation and solve for the mass.

Using the equation, we get: mass = (Force * contact time) / final velocity. Substituting the given values, we have: mass = (540 N * 5.00 ms) / 45.0 m/s. Solving this equation, we find that the mass of the tennis ball is 0.060 kg.