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 1042: 46

Answer

(a) $1.0\times 10^{15}Kg.m/s$ (b) $1.5\times 10^{15}Kg.m/s$

Work Step by Step

(a) We can find the magnitude of classical momentum as $p=mv$ We plug in the known values to obtain: $p=(4.5\times 10^6)(0.75\times 3.00\times 10^8)$ $p=1.0\times 10^{15}Kg.m/s$ (b) The relativistic momentum can be determined as $p=\frac{mv}{\sqrt{1-v^2/c^2}}$ We plug in the known values to obtain: $p=\frac{4.5\times 10^6(0.75)(3.00\times 10^8)}{\sqrt{1-(0.75)^2}}=1.5\times 10^{15}Kg.m/s$
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