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 255: 107b

Answer

$157~kg~~$ of gas must be ejected each second.

Work Step by Step

We can use Newton's Second Law to find the required thrust: $\sum F = ma$ $F_{thrust}-mg = ma$ $F_{thrust} = m~(a+g)$ $F_{thrust} = (6100~kg)~(21~m/s^2+9.8~m/s^2)$ $F_{thrust} = 187,880~N$ We can find $R$, the rate at which the gas must be ejected: $R~v_{rel} = F_{thrust}$ $R = \frac{F_{thrust}}{v_{rel}}$ $R = \frac{187,880~N}{1200~m/s}$ $R = 157~kg/s$ $157~kg~~$ of gas must be ejected each second.
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