College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 6 - Linear Momentum and Collisions - Learning Path Questions and Exercises - Exercises - Page 215: 13

Answer

$F_{avg}=6.5\times 10^3 N$

Work Step by Step

We can find the required average force as follows: Initial momentum of the tractor-trailer is given as $P_1=m v_1$ $\implies P_1=5000 Kg\times 0.833m/s$ ($As v_1=3Km/h=0.833m/s$) This simplifies to: $P_1=4165m/s$ As the final velocity is zero , therefore $P_2=0$ Now $F_{avg}=\frac{P_2-P_1}{\Delta t}$ We plug in the known values to obtain: $F_{avg}=\frac{0-4165}{0.64}$ This simplifies to: $F_{avg}=6.5\times 10^3 N$
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