Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 21 - Coulomb's Law - Problems - Page 628: 46a

Answer

$$3,52 X 10^{-25}N$$

Work Step by Step

$F=\frac{k\times q_{1}\times q_{2}}{(d^{2})}-\frac{k\times q_{1}\times q_{3}}{(2d^{2})}-\frac{k\times q_{1}\times q_{4}}{(3d^{2})}$ $=\frac{k\times 2\times e^{2}}{d^{2}}-\frac{k\times 2\times e^{2}}{4d^{2}}-\frac{k\times 8\times e^{2}}{9d^{2}}$ $=\frac{(72-18-32)\times k\times e^{2}}{36d^{2}}$ $=\frac{22\times9\times10^{9}\times (1,6\times10^{19})^{2}}{36\times(2\times10^{-2})^{2}}$ $=\frac{506,88\times10^{-29}}{144\times10^{-4}}$ $=3,52\times10^{-25}N$
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