When serving a tennis ball, the player hits it when its velocity is zero (at the highest point of a vertical toss). The racket exerts a force of 560 N on the ball for 5.00 ms, giving it a final velocity of 45.0 m/s. Using these data, find the mass of the ball.

62.2 grams she means

To find the mass of the ball, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a). In this case, the force exerted on the ball by the racket is given as 560 N.

First, let's determine the acceleration of the ball. We can use the following kinematic equation:

v = u + at,

where v is the final velocity, u is the initial velocity (which is zero in this case), a is the acceleration, and t is the time taken. We are given that the final velocity is 45.0 m/s, and the time is 5.00 ms (or 0.005 seconds).

Plugging in the values, we have:

45.0 m/s = 0 + a * 0.005 s.

Simplifying the equation, we find:

a = (45.0 m/s) / (0.005 s) = 9000 m/s².

Now, we can rearrange Newton's second law of motion to find the mass of the ball:

F = ma.

Substituting the given force (560 N) and the calculated acceleration (9000 m/s²), we get:

560 N = m * 9000 m/s².

To solve for m (mass), divide both sides of the equation by 9000 m/s²:

m = (560 N) / (9000 m/s²) = 0.062 kg.

Therefore, the mass of the tennis ball is 0.062 kg.