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?

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?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

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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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