University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Question
Chapter 13, Problem 13.35E
(a)
To determine
The gravitational potential energy U
of the system.
(b)
To determine
The expression for the gravitational potential energy U
of the system reduces to the expected result when x
is much larger than the radius a
of the ring.
(c)
To determine
The magnitude and the direction of the force on the particle.
(d)
To determine
The expression for the force on the particle reduces to the expected result when x
is much larger than the radius a
of the ring
(e)
To determine
The values of U
and F x when x = 0 .
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13.39 • CALC Consider the ring- shaped object in Fig. E13.39 D. 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
F. = -dU/dx to find the magnitude and direction of the force on the particle (see Section 7.4 9). (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 F, when
x = 0? Explain why these results make sense.
Figure E13.39
т
M
A satellite in Earth orbit has a mass of 96 kg and is at an altitude of
1.98 x 10° m. (Assume that U
= 0 as r – ∞.)
(a) What is the potential energy of the satellite-Earth system?
(b) What is the magnitude of the gravitational force exerted by the
Earth on the satellite?
97671.15
What is the equation for gravitational force when the altitude is
comparable to the radius of the Earth? N
(c) What force, if any, does the satellite exert on the Earth? (Enter the
magnitude of the force, if there is no force enter 0.)
Solve sub-parts (c), (d), and (e).
Chapter 13 Solutions
University Physics (14th Edition)
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