Final answer:
The magnitude of force on the wall from the tennis ball collision is calculated using the mass, initial and final velocities of the ball, and the time of collision. The change in momentum, or impulse, is found by subtracting the final momentum from the initial momentum, then the average force is determined by dividing this change by the time interval. The calculated force magnitude is 58.7 Newtons.
Step-by-step explanation:
The question involves calculating the magnitude of force on the wall during the process of a tennis ball bouncing off of it. This calculation is based on the change in momentum of the ball, which can be found using the mass, the initial and final velocities of the ball, and the time of collision. Since force is the change in momentum over time, we can determine the magnitude of force on the wall by using these given values.
First, calculate the change in momentum (impulse):
Initial momentum = mass × initial velocity = 0.1 kg × 30.2 m/s = 3.02 kg·m/s.
Final momentum = 0.1 kg × (-28.5 m/s) = -2.85 kg·m/s.
(Note: the final momentum is negative because the ball is moving in the opposite direction after the collision.)
The change in momentum is the final momentum minus the initial momentum:
Change in momentum = -2.85 kg·m/s - 3.02 kg·m/s = -5.87 kg·m/s.
Now, calculate the magnitude of force:
The average force can be found by dividing the change in momentum by the time interval of the collision:
Magnitude of force = Change in momentum / Time = 5.87 kg·m/s / 0.1 s = 58.7 N.
Therefore, the magnitude of force on the wall is 58.7 Newtons.