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A hollow ball of mass M and radius R is released from rest at the top of a bumpy track. The starting point is at height H from the bottom and the top of the bump H 2H/3 is at height 2H/3 from the bottom of the track, as shown in Fig.1. Over the entire course of its motion, the ball rolls without slipping. The acceleration due to gravity has magnitude g and air resistance is negligible. Figure 1 a- Explain which physical quantity (ies) is (are) conserved over the course of the displacement of the ball along the track. b- Determine the linear speed of the ball at the lowest point on the track. c- Determine which fraction of the mechanical energy of the ball its rotational kinetic energy represents when it reaches the top of the bump. d- Without any calculations, explain whether a block sliding without friction would have a larger, equal or smaller linear speed at the end of the track.

A hollow ball of mass M and radius R is released from rest at the top of a bumpy track. The starting point is at height H from the bottom and the top of the bump H 2H/3 is at height 2H/3 from the bottom of the track, as shown in Fig.1. Over the entire course of its motion, the ball rolls without slipping. The acceleration due to gravity has magnitude g and air resistance is negligible. Figure 1 a- Explain which physical quantity (ies) is (are) conserved over the course of the displacement of the ball along the track. b- Determine the linear speed of the ball at the lowest point on the track. c- Determine which fraction of the mechanical energy of the ball its rotational kinetic energy represents when it reaches the top of the bump. d- Without any calculations, explain whether a block sliding without friction would have a larger, equal or smaller linear speed at the end of the track.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A hollow ball of mass M and radius R is released from rest at the top of a bumpy track. The starting point is at height H from the bottom and the top of the bump is at height 2H/3 from the bottom of the track, as shown in Fig.1. Over the entire course of its motion, the ball rolls without slipping. The acceleration due to gravity has magnitude g and air resistance is negligible. 2 Н 2H/3 Figure 1 a- Explain which physical quantity (ies) is (are) conserved over the course of the displacement of the ball along the track. b- Determine the linear speed of the ball at the lowest point on the track. c- Determine which fraction of the mechanical energy of the ball its rotational kinetic energy represents when it reaches the top of the bump. d- Without any calculations, explain whether a block sliding without friction would have a larger, equal or smaller linear speed at the end of the track.
Transcribed Image Text:A hollow ball of mass M and radius R is released from rest at the top of a bumpy track. The starting point is at height H from the bottom and the top of the bump is at height 2H/3 from the bottom of the track, as shown in Fig.1. Over the entire course of its motion, the ball rolls without slipping. The acceleration due to gravity has magnitude g and air resistance is negligible. 2 Н 2H/3 Figure 1 a- Explain which physical quantity (ies) is (are) conserved over the course of the displacement of the ball along the track. b- Determine the linear speed of the ball at the lowest point on the track. c- Determine which fraction of the mechanical energy of the ball its rotational kinetic energy represents when it reaches the top of the bump. d- Without any calculations, explain whether a block sliding without friction would have a larger, equal or smaller linear speed at the end of the track.
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