Physics (10th Edition)

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

Chapter 7 - Impulse and Momentum - Problems - Page 191: 4

Answer

$\sum F_A=4200N$ $\sum F_B=5700N$

Work Step by Step

The impulse-momentum theorem states that $$\sum\vec{F}\Delta t=m\vec{v}_f-m\vec{v}_0$$ $$\sum\vec{F}=\frac{m\vec{v}_f-m\vec{v}_0}{\Delta t}=\frac{m}{\Delta t}(\vec{v}_f-\vec{v}_0)$$ For car A, we have the car's mass $m=1400kg$, time $\Delta t=9s$, initial velocity $v_0=0m/s$ and final velocity $v_f=27m/s$ The net average force acting on car A is $$\sum F_A=4200N$$ For car B, we have the car's mass $m=1900kg$, time $\Delta t=9s$, initial velocity $v_0=0m/s$ and final velocity $v_f=27m/s$ The net average force acting on car B is $$\sum F_B=5700N$$
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