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 249: 29

Answer

$5\ N$

Work Step by Step

Magnitude of the average force is $F_{avg}=\frac{\Delta P}{t}$ (where $\Delta P$ is the change in momentum for one bullet and t is the time between the bullets). First, we find $P$: $\Delta P =m(\Delta v) = (0.003\ kg)(500\ m/s -(-500\ m/s)) =3\ kg.m/s$ Given that the collision rate is 100 bullets / 1 min, for 1 bullet, the time is 0.01 min =$ 0.01\times 60\ s =0.6\ s$. Therefore; $F_{avg}=\frac{3\ kg.m/s}{0.6\ s} = 5\ N$
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