Final answer:
The average resultant force acting on the tennis ball is 1.0 newton, calculated using the mass of the ball, the change in velocity, and the time over which this change occurs.
Step-by-step explanation:
The student is asking for the average resultant force acting on a tennis ball during impact with a tennis racquet. To calculate this force, we use the equation F = ma, where F is the force, m is the mass of the object, and a is the acceleration. The acceleration can be found using the formula a = ∆v / ∆t, where ∆v is the change in velocity and ∆t is the change in time. Given the mass of the ball (0.12 kg), its initial velocity (0 m/s), final velocity (5.0 m/s), and the time over which the velocity change occurs (0.60 s), one can calculate the acceleration and then use it to determine the force.
First, let's find the acceleration:
a = (∆v) / (∆t) = (5.0 m/s - 0 m/s) / 0.60 s = 8.33 m/s².
Now, we calculate the force:
F = ma = (0.12 kg)(8.33 m/s²) = 1.0 N.
Therefore, the average resultant force acting on the ball while it is being hit is 1.0 newton (N).