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: 37

Answer

(a) $F = 500~N$ (b) $a = 3.0\times 10^{29}~m/s^2$

Work Step by Step

(a) If the proton is 2.0 fm from the surface of the nucleus, the proton is 5.0 fm from the center of the nucleus. Let $q_n$ be the charge of the nucleus and let $q_p$ be the charge of the proton. We can find the electric force on the proton. $F = \frac{k~q_n~q_p}{r^2}$ $F = \frac{(9.0\times 10^9~N~m^2/C^2)[(54)(1.6\times 10^{-19}~C)](1.6\times 10^{-19}~C)}{(5.0\times 10^{-15}~m)^2}$ $F = 500~N$ (b) We can find the proton's acceleration. $a = \frac{F}{m}$ $a = \frac{500~N}{1.67\times 10^{-27}~kg}$ $a = 3.0\times 10^{29}~m/s^2$
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