Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 16 - Electric Charge and Electric Field - Problems - Page 469: 11

Answer

Net force on $Q_{1} \approx 116N$ to the left Net force on $Q_{2}\approx 564N$ to the right Net force on $Q_{3}\approx 448N$ to the left

Work Step by Step

Net force on $Q_{1}$ is $$F_{1net} = F_{12} + F_{13}$$ where $F_{12}$ means the force on 1 by 2. $F_{12} = k\frac{Q_{1}Q_{2}}{r_{12}^{ 2}}$, where Q is an absolute value. $F_{12} = 9.0\times10^{9} Nm^{2}/C^{2}\frac{(65\times10^{-6}C)(48\times10^{-6}C)}{0.35m^{2}}$ $F_{12} = -229N$ Repeat for $F_{13}$. $F_{13} = 113N$ Force on $Q_{1} = -229N + 113N \approx -116N$ The negative sign indicates the direction is to the left. Repeat steps for force on $Q_{2}$. We know that the magnitude of $F_{21} = F_{12}$, but the direction is opposite. $F_{2net} = F_{21} + F{23}$ $F_{21} = 229N$ $F_{23} = 335N$ Force on $Q_{2} = 229N + 335N \approx 564N$ Now find force on $Q_{3}$. $F_{3net} = F_{31} + F_{32}$ Force on $Q_{3} = -113N + 335N \approx -448N$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.