Question

10. A 150g rubber ball is dropped from a height of 2.33 m onto a force 2000 probe. Data from the probe is used to create the force vs. time plot 1500 1000 a) Identify the parameters for this situation and oréate a pictorial 500 at right, and allow calculation of the ball's rebound height. 500 representation of the encounter to illustrate alrthe relevant states. wing all work, determine the total change in momentum that occurs during the ball's interaction with the probe. -502 4 6 8 10 12 c) Show all necessary work for your calculation of the ball's speed just before hitting the probe. d) Determine the post-collision speed for the ball, and compare it to its speed just before impact. e) Showing all necessary work, find the maximum height of the ball as it bounces upward

Answer 1

Part b Total change in momentum x (8-2)x10 sx (200-0)N -0.6N s Part c The height of drop is 2.33 m. If the time to reach the ground is t, 2.33g 2x2.33 9.8 t 0.69 s The speed of the ball before hitting the probe is, v 9.8x0.69 m v = 6.76

Part d The momentum of the ball before hitting the probe is, p-6.76 m>< 0.150 kg p 1.01 kg.- Therefore, the change in momentum is p=6.76m×0.150 kg p=(1.01-0.6) kg- p=0.41 kg·m m

The speed after the collision is, 0.41 m 0.150 s -2.73 Part e If the time to reach a height after the collision is t, 2.73-9.8t, , 0.28 s The height up to which the ball bounces upward is, hx9.8x(0.28) m h, 0.38 m