University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 44 - Particle Physics and Cosmology - Problems - Exercises - Page 1520: 44.15

Answer

a). 3200GeV b). 38.7 GeV

Work Step by Step

a). since $E_{a}$ is much larger than proton rest energy, we use $E_{a}^{2}=2mc^{2}\times E_{m}$ Hence, $E_{m}=3200GeV$ b). for colliding beams, total momentum=0. Available energy $E_{a}$ is total energy of 2 colliding particles. For proton-proton collision, each beam have same energy, so energy of each beam = $\frac{1}{2} E_{a}=38.7GeV.$
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