Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.7 - The Dot Product - Exercise Set - Page 793: 53


The work done is 7600 foot-pounds.

Work Step by Step

Here, the car is being pushed along the level road. Hence, the angle between force and direction of motion is ${{0}^{\circ }}$. Now it is known, $\mathbf{W}=\left\| \mathbf{F} \right\|\left\| \mathbf{AB} \right\|\cos \theta $ …… (1) As it is given that, $\left\| \mathbf{F} \right\|=95,\left\| \mathbf{AB} \right\|=80$ and $\theta =0{}^\circ $ …… (2) Therefore, use (2) in (1). So, $\begin{align} & \mathbf{W}=\left( 95 \right)\left( 80 \right)\cos \left( 0{}^\circ \right) \\ & =7600 \end{align}$
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