A 750 g hollow ball (spherical shell) is rolling along a horizontal floor at 8 m/s for adistance of 10 m. After travelling for 10 m is rolls up a 45 degree incline. How far upthe incline does the ball roll when it comes to a momentary stop?

Answered: A 750 g hollow ball (spherical shell)…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 69PQ: The velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular...

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A 750 g hollow ball (spherical shell) is rolling along a horizontal floor at 8 m/s for a
distance of 10 m. After travelling for 10 m is rolls up a 45 degree incline. How far up
the incline does the ball roll when it comes to a momentary stop?

Expert Solution

Step 1

Consider the diagram for the position of the spherical shell, that is the hollow ball, on the incline. Consider the speed of the ball at point A be v_i, and the speed of the ball at point B be v_f, that is the final position where the ball momentary stops.

Step 2

Apply energy conservation on the ball between the points A and B, and solve for the distance between these points, that is the distance which the ball rolls on the incline when it cones to a momentary stop.

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