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 629: 68

Answer

$10^{18} $

Work Step by Step

John = 90 kg Mary = 45 kg d = 30 m The net charge that John carries is $q_{John} = (0.0001 \%) \frac{mN_AZe}{M}$ $q_{John} = (0.0001) \frac{90kg(6.02 \times 10^{23}/mol) (18)(1.6 \times 10^{-19} C)}{0.018 kg/mol}$ $q_{John} = 866800 C$ Mary has half of the weight of John, this makes $q_{Mary} = \frac{1}{2} q_{John}$ $q_{Mary} = 433440 C$ And the force of these two is $F = \frac{kq_{John}q_{Mary}}{d^2}$ $F = \frac{(8.99 \times 10^9 N . m^2 / C^2)(866800 C)(433440 C)}{(30m)^2} $ $F = 3.8 \times 10^{18} N$ $10^{18} $ is the order of magnitude of the electrostatic force.
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