Question

Question 8 10 pts (10 points - Conceptual Problem) Kyle, Jade, Shannon, Jenny, Megan and Dr. Karunwi are putting together a demo for high school kids. They setup an experiment such that a large bowling ball has a mass which is ten times larger than a small tennis ball. Then they set up the speed of the tennis ball to be fifteen times larger than the bowling ball's speed. Compare the momenta of the two balls. • Which ball would be harder to stop in a given time period? (5 points) • Why? (5 points)

Answer 1

This problem can be solved using the definition of momenta and then expressing force as the rate of change of momenta to see in which case will the force required to stop the ball in a given time period turns out to be greater. It turns out that the tennis ball will be harder to stop in a given time period. Detailed solution given below. Ask me if you have any doubts. Feedback will be helpful.

For tennis ball, opy Palfinal) Py(initial) = 0 - 15mv - - 15 mv fp =- So, f = - 15 mv ДТ see, the magnitude of force required to stop the tennis ball, Iffl = 15 mv is higher than for the bowling bau 1 fol = lomv ΔΤ ДТ Hence, the tennis ball will be harder to stop.