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?

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Chapter1: Units, Trigonometry. And Vectors
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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?
Transcribed Image Text: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 vi, and the speed of the ball at point B be vf, that is the final position where the ball momentary stops.

Physics homework question answer, step 1, image 1

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.

Physics homework question answer, step 2, image 1

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