Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 6 - Work and Energy - Problems - Page 167: 61

Answer

The total force resisting the motion of the boat is 2700 N.

Work Step by Step

We can convert the power to units of W: $P=(35 ~hp)(\frac{746 ~W}{1 ~hp})=26,100 ~W$ Next, we find the average force exerted by the motor as it travels 35 km in 1 hour. $\frac{F\cdot d}{t}=P$ $F=\frac{P\cdot t}{d}=\frac{(26,100 W)(3600 s)}{35,000 m}$ $F=2700 ~N$ Since the boat moves at a steady speed, the total force resisting the motion of the boat must also be equal (in magnitude) to 2700 N.
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