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Rolling Stones. A solid, uniform, spherical boulder starts

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 81P Chapter 10

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 81P

Rolling Stones.? A solid, uniform, spherical boulder starts from rest and rolls down a 50.0-m-high hill, as shown in ?Fig. P10.71?. The top half of the hill is rough enough to cause the boulder to roll without slipping, but the lower half is covered with ice and there is no friction. What is the translational speed of the boulder when it reaches the bottom of the hill?

Step-by-Step Solution:

Solution to 81P Step 1 2 Moment of inertia of solid sphere=()mr Height of hill=50m Angular velocity =(v/r) Step 2 At the first half of the downhill distance, friction is present, thus the solid sphere rotates without slipping. Therefore, according to conservation of energy, U=K +Kr L 2 2 2 2 mgh 1½)()mr (v /r ) +(½)mv gh1(7/10)v 2 2 v =(10/7)gh 1…………………………………………………….(1)

Step 3 of 3

Chapter 10, Problem 81P is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The answer to “Rolling Stones.? A solid, uniform, spherical boulder starts from rest and rolls down a 50.0-m-high hill, as shown in ?Fig. P10.71?. The top half of the hill is rough enough to cause the boulder to roll without slipping, but the lower half is covered with ice and there is no friction. What is the translational speed of the boulder when it reaches the bottom of the hill?” is broken down into a number of easy to follow steps, and 67 words. Since the solution to 81P from 10 chapter was answered, more than 437 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: Boulder, Hill, half, Rest, down. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 81P from chapter: 10 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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