Conceptual Physics (12th Edition)
12th Edition
ISBN: 9780321909107
Author: Paul G. Hewitt
Publisher: PEARSON
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Chapter 22, Problem 43RCQ
To determine
Sphere’s potential relative to ground (
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Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
-
C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Chapter 22 Solutions
Conceptual Physics (12th Edition)
Ch. 22 - Prob. 1RCQCh. 22 - Prob. 2RCQCh. 22 - Prob. 3RCQCh. 22 - Prob. 4RCQCh. 22 - Prob. 5RCQCh. 22 - Prob. 6RCQCh. 22 - Prob. 7RCQCh. 22 - Prob. 8RCQCh. 22 - Prob. 9RCQCh. 22 - Prob. 10RCQ
Ch. 22 - Prob. 11RCQCh. 22 - Prob. 12RCQCh. 22 - Prob. 13RCQCh. 22 - Prob. 14RCQCh. 22 - Prob. 15RCQCh. 22 - Prob. 16RCQCh. 22 - Prob. 17RCQCh. 22 - Prob. 18RCQCh. 22 - Prob. 19RCQCh. 22 - Prob. 20RCQCh. 22 - Prob. 21RCQCh. 22 - Prob. 22RCQCh. 22 - Prob. 23RCQCh. 22 - Prob. 24RCQCh. 22 - Prob. 25RCQCh. 22 - Prob. 26RCQCh. 22 - Prob. 27RCQCh. 22 - Prob. 28RCQCh. 22 - Prob. 29RCQCh. 22 - Prob. 30RCQCh. 22 - Prob. 31RCQCh. 22 - 32. Write a letter to Grandpa and tell him why...Ch. 22 - Prob. 33RCQCh. 22 - Coulomb’s...Ch. 22 - 35. Solve for the force in the preceding problem...Ch. 22 - 36. Two point charges are seperated by 6 cm. The...Ch. 22 - Prob. 37RCQCh. 22 - 38. Two pellets, each with a charge of 1...Ch. 22 - 39. Electronic types neglect the force of gravity...Ch. 22 - 40. Atomic physicists ignore the effect of gravity...Ch. 22 - Prob. 41RCQCh. 22 - The potential difference between a storm cloud and...Ch. 22 - Prob. 43RCQCh. 22 - 44. Find the voltage change when (a) an electric...Ch. 22 - 45. In 1909 Robert Millikan was the first to find...Ch. 22 - 46. The three pairs of metal same-size spheres...Ch. 22 - 47. Shown are three separate pairs of point...Ch. 22 - Prob. 48RCQCh. 22 - Prob. 49RCQCh. 22 - Why aren’t objects with vast numbers of electrons...Ch. 22 - Prob. 51RCQCh. 22 - Prob. 52RCQCh. 22 - Prob. 53RCQCh. 22 - 54. At some automobile toll booths a thin metal...Ch. 22 - 55. Why are the tires for trucks carrying gasoline...Ch. 22 - 56. An electroscope is a simple device consisting...Ch. 22 - Prob. 57RCQCh. 22 - Is it necessary for a charged body actually to...Ch. 22 - Prob. 59RCQCh. 22 - 60. How can you charge an object negatively with...Ch. 22 - Prob. 61RCQCh. 22 - Prob. 62RCQCh. 22 - 63. The 50,000 billion billion () freely moving...Ch. 22 - Prob. 64RCQCh. 22 - Prob. 65RCQCh. 22 - 66. When you double the distance between a pair of...Ch. 22 - Prob. 67RCQCh. 22 - 68. When you double the charge on both particles...Ch. 22 - Prob. 69RCQCh. 22 - 70. How do electric field lines indicate the...Ch. 22 - Prob. 71RCQCh. 22 - 72. Suppose that the strength of the electric...Ch. 22 - Prob. 73RCQCh. 22 - 74. Measurements show that there is an electrical...Ch. 22 - Prob. 75RCQCh. 22 - Prob. 76RCQCh. 22 - Prob. 77RCQCh. 22 - Prob. 78RCQCh. 22 - Prob. 79RCQCh. 22 - 80. How can a charged atom (an ion) attract a...Ch. 22 - 81. If you place a free electron and a free proton...Ch. 22 - 82. How will the accelerations of the proton and...Ch. 22 - 83. How will the directions of travel compare for...Ch. 22 - Prob. 84RCQCh. 22 - Prob. 85RCQCh. 22 - Prob. 86RCQCh. 22 - Prob. 87RCQCh. 22 - Prob. 88RCQCh. 22 - 89. If you expend 10 J of work to push a 1-C...Ch. 22 - 90. When released what is the kinetic energy of...Ch. 22 - Prob. 91RCQCh. 22 - 92. Why is it safe to remain inside a car during a...Ch. 22 - Prob. 93RCQCh. 22 - 94. In order to store more energy in a...Ch. 22 - Prob. 95RCQCh. 22 - 96. An electron volt (eV) is a unit of energy....Ch. 22 - Prob. 97RCQCh. 22 - Would you feel any electrical effects if you were...Ch. 22 - Prob. 99RCQCh. 22 - Prob. 100RCQCh. 22 - Prob. 101RCQCh. 22 - 102. Strictly speaking when an object acquires a...Ch. 22 - Strictly speaking, will a penny be slightly more...Ch. 22 - Prob. 104RCQCh. 22 - Prob. 105RCQCh. 22 - If you are caught outdoors in a thunderstorm, why...Ch. 22 - 107. Two pieces of plastic, a full ring and a half...Ch. 22 - Prob. 108RCQ
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