University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 6 - Work and Kinetic Energy - Problems - Exercises - Page 197: 6.59

Answer

The power required to operate the tow is $2.96\times 10^4~W$.

Work Step by Step

We can convert the speed to units of m/s. $v = (12.0~km/h)(\frac{1000~m}{1~km})(\frac{1~h}{3600~s}) = 3.33~m/s$ We can find the required power. $P = F~v$ $P = (50)(mg)~sin(\theta)~v$ $P = (50)(70.0~kg)(9.80~m/s^2)~sin(15.0^{\circ})(3.33~m/s)$ $P = 2.96\times 10^4~W$ The power required to operate the tow is $2.96\times 10^4~W$.
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