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. what is the x -component of the force exerted by big bill on the tennis ball in his record serve? a) 24.18 N

b) 25.03 N
c) 23.27 N
d) 26.45 N

Answer 1

To find the x-component of the force exerted by Big Bill on the tennis ball, we can use the equation Force = mass x acceleration. After substituting the given values, we find that the x-component of the force is approximately 138.84 N.

Step-by-step explanation:

To find the x-component of the force exerted by Big Bill on the tennis ball, we can use the equation:

Force = mass x acceleration

Since we know the mass of the ball (57 g) and its final velocity after being hit (73 m/s), we can calculate the acceleration using the equation:

Acceleration = (final velocity - initial velocity) / contact time

Substituting the values, we get:

Acceleration = (73 m/s - 0 m/s) / 0.03 s = 2433 m/s^2

Finally, we can calculate the force using the equation:

Force = mass x acceleration

Force = 0.057 kg x 2433 m/s^2 = 138.84 N

Therefore, the x-component of the force exerted by Big Bill on the tennis ball is approximately 138.84 N.