Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 7 - Work and Kinetic Energy - Problems and Conceptual Exercises - Page 211: 17

Answer

$\theta=21.0^{\circ}$

Work Step by Step

To find the work done my a constant force, use the formula $$W=Fdcos\theta$$ Solving for $\theta$ yields $$\theta=arccos(\frac{W}{Fd})$$ Substituting known values of $F=75N$, $W=3500J$, and $d=50.0m$ yields an angle of $$\theta=arccos(\frac{3500J}{(75N)(50.0m)})=21.0^{\circ}$$
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