Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Textbook Question
Chapter 39, Problem 71P
An old model of a hydrogen atom has the charge +e of the proton uniformly distributed over a sphere of radius a0, with the electronof charge –e and mass m at its center, (a) What would then be theforce on the electron if it were displaced from the center by a distancer≤a0? (b) What would be the angular frequency of oscillation of theelectron about the center of the atom once the electron was released?
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An old model of a hydrogen atom has the charge +e of the proton uniformly distributed over a sphere of radius a0, with the electron of charge -e and mass m at its center. (a) What would then be the force on the electron if it were displaced from the center by a distance r # a0? (b) What would be the angular frequency of oscillation of the electron about the center of the atom once the electron was released?
(b) A magnesium atom (mass of 24 proton masses) in a crystal is measured to oscillate with a frequency
of roughly 10¹3 Hz. What is the effective spring constant of the forces holding that atom in the crystal?
(c) Sitting on a trampoline, a person with mass m sinks a distance Az below the trampoline's normal
level surface. (i) If the person gently bounces on the trampoline (without leaving its surface), what
would be the person's period of oscillation T? Check: For Az = 20 cm you should find T
0.90 s.
(You should not need the person's mass, but if you think you do, assume and state a value.)
(ii) Find T for Az = 45 cm.
=
(a) An oscillating object repeats its motion every 3.3 seconds. (i) What is the period of this oscillation?
(ii) What is its frequency? (iii) What is its phase rate (i.e. angular frequency)?
(b) A magnesium atom (mass of 24 proton masses) in a crystal is measured to oscillate with a frequency
of roughly 10l3 Hz. What is the effective spring constant of the forces holding that atom in the crystal?
(c) Sitting on a trampoline, a person with mass m sinks a distance Az below the trampoline's normal
level surface. (i) If the person gently bounces on the trampoline (without leaving its surface), what
would be the person's period of oscillation T?
(You should not need the person's mass, but if you think you do, assume and state a value.)
(ii) Find T for Az = 45 cm.
Check: For Az = 20 cm you should find T = 0.90 s.
Chapter 39 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 39 - Prob. 1QCh. 39 - Prob. 2QCh. 39 - Prob. 3QCh. 39 - Prob. 4QCh. 39 - Prob. 5QCh. 39 - Prob. 6QCh. 39 - Prob. 7QCh. 39 - Prob. 8QCh. 39 - Prob. 9QCh. 39 - Prob. 10Q
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