Fundamentals of Physics Extended (10th Edition)

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

Chapter 44 - Quarks, Leptons, and the Big Bang - Problems - Page 1366: 49b

Answer

The mass of a negative pion is $139.6\hspace{2mm}MeV/c^2$ = $\large m_\pi$ The speed of light in vacuum = $c$ = $3\times 10^8$ m/s. The speed of negative pion = $v$ = $2.98\times 10^8$ m/s.

Work Step by Step

Let $p$ is the momentum of the negative pion. $p=1.19 \hspace{2mm}GeV/c$ Lorentz factor = $\gamma$ = $\Large \frac{1}{\sqrt{1-(\frac{v}{c})^2}}$ where $v$ is the speed of the negative pion. We also use the conversion: $\large 1$ MeV = $\large 10^{-3}$ GeV. Thus we have:
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