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CALC Consider the ring- shaped body of Fig. E13.35. A

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

Solution for problem 33E Chapter 13

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 33E

CALC Consider the ring- shaped body of ?Fig. E13.35?. A particle with mass ?m is placed a distance x from the center of the ring, along the line through the center of the ring and perpendicular to its plane. (a) Calculate the gravitational potential energy U of this system. Take the potential energy to be zero when the two objects are far apart. (b) Show that your answer to part (a) reduces to the expected result when x is much larger than the radius a of the ring. (c) Use Fx = -dU/dx to find the magnitude and direction of the force on the particle (see Section 7.4). (d) Show that your answer to part (c) reduces to the expected result when x is much larger than a. (e) What are the values of U and Fx when x = 0? Explain why these results make sense.

Step-by-Step Solution:

Solution Step 1 of 8 Let us consider the ring of mass M , a particle of mass m is placed at a distance x from the center of the ring as shown in the figure below

Step 2 of 8

Chapter 13, Problem 33E is Solved
Step 3 of 8

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The answer to “CALC Consider the ring- shaped body of ?Fig. E13.35?. A particle with mass ?m is placed a distance x from the center of the ring, along the line through the center of the ring and perpendicular to its plane. (a) Calculate the gravitational potential energy U of this system. Take the potential energy to be zero when the two objects are far apart. (b) Show that your answer to part (a) reduces to the expected result when x is much larger than the radius a of the ring. (c) Use Fx = -dU/dx to find the magnitude and direction of the force on the particle (see Section 7.4). (d) Show that your answer to part (c) reduces to the expected result when x is much larger than a. (e) What are the values of U and Fx when x = 0? Explain why these results make sense.” is broken down into a number of easy to follow steps, and 147 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: ring, center, show, much, result. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 33E from chapter: 13 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 33E from 13 chapter was answered, more than 620 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460.

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CALC Consider the ring- shaped body of Fig. E13.35. A