Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 29 - Relativity - Problems and Conceptual Exercises - Page 1044: 81

Answer

$1.20\times 10^{-18}Kg.m/s$

Work Step by Step

We can find the momentum of the proton as follows: $K.E=m_{\circ}c^2(\frac{1}{\sqrt{1-v^2/c^2}}-1)$ This simplifies to: $v=c\sqrt{1-(1+\frac{K.E}{m_{\circ}c^2})^{-2}}$ We plug in the known values to obtain: $v=c\sqrt{1-(1+\frac{1.50\times 10^3 MeV}{938MeV})^{-2}}$ Now, $p=\frac{m_{\circ}v}{\sqrt{1-v^2/c^2}}$ We plug in the known values to obtain: $p=(\frac{1.673\times 10^{-27})(2.77\times 10^8)}{\sqrt{1-(0.923)^2}}$ $p=1.20\times 10^{-18}Kg.m/s$
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