Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 37 - The Foundations of Modern Physics - Exercises and Problems - Page 1122: 27

Answer

The energy equivalent of the rest mass of an electron is $~~0.512~MeV$ The energy equivalent of the rest mass of a proton is $~~939~MeV$

Work Step by Step

We can find the energy equivalent of the rest mass of an electron: $E = mc^2$ $E = (9.109\times 10^{-31}~kg)(3.0\times 10^8~m/s)^2$ $E = 8.1981\times 10^{-14}~J$ $E = (8.1981\times 10^{-14}~J)(\frac{1~eV}{1.6\times 10^{-19}~J})$ $E = 5.12\times 10^5~eV$ $E = 0.512~MeV$ The energy equivalent of the rest mass of an electron is $~~0.512~MeV$ We can find the energy equivalent of the rest mass of a proton: $E = mc^2$ $E = (1.67\times 10^{-27}~kg)(3.0\times 10^8~m/s)^2$ $E = 1.503\times 10^{-10}~J$ $E = (1.503\times 10^{-10}~J)(\frac{1~eV}{1.6\times 10^{-19}~J})$ $E = 9.39\times 10^8~eV$ $E = 939~MeV$ The energy equivalent of the rest mass of a proton is $~~939~MeV$
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