Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 7 - Impulse and Momentum - Problems - Page 193: 32


The sport utility vehicle was traveling at a speed of $14.1m/s$

Work Step by Step

We take the car's direction of motion to be the positive side. The car, whose mass is $m=1100kg$ and who has initial velocity $\vec{v}=+32m/s$, collides with the sport utility vehicle, whose mass is $M=2500kg$ and who has initial velocity $\vec{V}$, which needs to be found. After that, 2 cars come to a halt, so the system's total momentum equals $0$. We assume there are no external forces, so the total linear momentum is conserved. Therefore, $$M\vec{V}+m\vec{v}=\sum \vec{p}_f=0$$ $$\vec{V}=-\frac{m\vec{v}}{M}=-14.1m/s$$
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