A speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 38PQ
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A speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.

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