Question

A tennis player hits a 0.1-kilogram tennis ball with her racket from the north end of a court. Her racket was traveling at 65 kilometers per hour. The ball accelerated at a rate of 10 meters per second squared. The player on the south end of the court hit the tennis ball with her racket at 75 kilometers per hour. How much force did the racket on the south end of the court exert on the ball?

Answer 1

The question requires the force exerted on a tennis ball by a tennis racket, but the time of contact between the racket and ball is missing from the given data, which is necessary to calculate the force.

Step-by-step explanation:

To calculate the force exerted on the tennis ball by the racket on the south end of the court, we need to know certain variables such as the initial and final velocities of the ball, the mass of the ball, and the time over which the force was applied. However, the provided information does not include the time of contact between the tennis racket and the ball, which is needed for an accurate calculation of the force exerted.

Knowing the initial and final velocities of the ball would normally allow us to calculate the change in momentum, and with the time of contact, we could then find the average force using the impulse-momentum theorem. However, since the time is missing, we are unable to provide an answer based on the given data. If the time of contact were known, the force F could be calculated using the formula F = Δp / Δt, where Δp is the change in momentum and Δt is the time interval.

Answer 2

To calculate the force exerted by the racket on the tennis ball, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. The force exerted by the racket on the tennis ball is 1 Newton.

Step-by-step explanation:

To calculate the force exerted by the racket on the tennis ball, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.

First, we need to convert the racket's velocity from kilometers per hour to meters per second. Since 1 kilometer is equal to 1000 meters and 1 hour is equal to 3600 seconds, we divide 65 kilometers per hour by 3.6 to get approximately 18.06 meters per second.

Next, we can calculate the force using the formula F = m × a, where F is the force, m is the mass of the tennis ball (0.1 kilograms), and a is the acceleration (10 meters per second squared). Therefore, the force exerted by the racket on the tennis ball is 1 Newton.