Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 19 - Electric Charges, Forces, and Fields - Problems and Conceptual Exercises - Page 688: 90

Answer

a) less than b) $F_{net}=0.55N$ c) $F_{net}=0.96N$

Work Step by Step

(a) We know that the net force on $q_1$ is the vector sum of an attractive force and a repulsive force which partially cancel each other. On the other hand, the net force on charge $q_2$ is the vector sum of two attractive forces; therefore, the net force on $q_2$ is greater than that of $q_1$. (b) We know that $F_{net}=\frac{Kq^2}{a^2}$ We plug in the known values to obtain: $F_{net}=\frac{(8.99\times 10^9Nm^2/C^2)(7.3\times 10^{-6}C)^2}{(0.93m)^2}$ $F_{net}=0.55N$ (c) We know that $F_{net}=\frac{Kq^2}{2a^2}(2\sqrt 3)$ We plug in the known values to obtain: $F_{net}=\frac{(8.99\times 10^9Nm^2/C^2)(7.3\times 10^{-6}C)^2(1.732)}{(0.93m)^2}$ $F_{net}=0.96N$
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