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# A ball is rolling along at speed without slipping on a ISBN: 9780321675460 31

## Solution for problem 19DQ Chapter 10

University Physics | 13th Edition

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Problem 19DQ

A ball is rolling along at speed without slipping on a horizontal surface when it comes to a hill that rises at a constant angle above the horizontal. In which case will it go higher up the hill: if the hill has enough friction to prevent slipping or if the hill is perfectly smooth? Justify your answers in both cases in terms of energy conservation and in terms of Newton’s second law.

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Solution 19DQ When the hill has friction, Let m be the mass, v be its speed, I be the moment of inertia and is the angular speed of the ball. Since the ball is in horizontal surface, initial potential energy is zero. Total energy when it is moving on the horizontal surface, 1 2 1 2 E i mv2 i + 2 …..(1) Let h be the distance moved by the ball upward the hill. Therefore, final energy, 1 2 1 2 E f mgh + mv 2 1 + 2 1 …..(2) When the hill has no friction, Initial energy, 1 2 1 2 E i mv2...

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 19DQ from chapter: 10 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “A ball is rolling along at speed without slipping on a horizontal surface when it comes to a hill that rises at a constant angle above the horizontal. In which case will it go higher up the hill: if the hill has enough friction to prevent slipping or if the hill is perfectly smooth? Justify your answers in both cases in terms of energy conservation and in terms of Newton’s second law.” is broken down into a number of easy to follow steps, and 72 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 19DQ from 10 chapter was answered, more than 341 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Hill, slipping, horizontal, terms, both. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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