Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 22 - Electric Charges and Forces - Exercises and Problems: 19

Answer

The force on the 1.0 nC charge is $3.1\times 10^{-4}~N$ directed upward.

Work Step by Step

By symmetry, the horizontal component of each force on the 1.0 nC charge cancels out. The net force on the 1.0 nC charge is the sum of the vertical components of each force. Since positive charges repel each other, the net force is directed upward. $F = 2\times \frac{(k)(1.0~nC)(2.0~nC)}{r^2}~sin(60^{\circ})$ $F = 2\times \frac{(9.0\times 10^9~N~m^2/C^2)(1.0\times 10^{-9}~C)(2.0\times 10^{-9}~C)}{(0.010~m)^2}~sin(60^{\circ})$ $F = 3.1\times 10^{-4}~N$ The force on the 1.0 nC charge is $3.1\times 10^{-4}~N$ directed upward.
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