Fundamentals of Physics Extended (10th Edition)

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

Chapter 9 - Center of Mass and Linear Momentum - Problems - Page 253: 78a

Answer

$\approx2.7 $

Work Step by Step

$v_{i} = 0 , v_{f} = v , v_{rel} = u $ $v_{i} $ is the initial speed. $v_{f} $ is the final speed. $v_{rel} $ is the relative speed and u is the exhaust speed. $v_{f} - v_{i} = v_{rel} ln\frac{M_{i}}{M_{f}} $ $=> \frac{M_{i}}{M_{f}} =e^{\frac{v}{u}}$ (a) If v =u, $\frac{M_{i}}{M_{f}} =e^{1}\approx 2.7 $
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