An owner of a speedboat loves high speed but doesn't want to go anywhere. So he tethers the speedboat to a fixed buoy by a strong cable of length 40.0 m40.0 m, which supplies all the centripetal force to run the boat in circles around the buoy. When the tension in the cable is steady at 13500 N13500 N, with what force is the boat's engine pushing the boat? Assume that the mass of the speedboat (including the driver) is 645 kg645 kg. Take the water's drag force to be (450 kg/m)×v2(450 kg/m)×v2, where vv denotes the boat's speed. Ignore any drag force on the cable. Be sure to include the free-body diagram for the boat.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter7: Rotational Motion And The Law Of Gravity
Section: Chapter Questions
Problem 9WUE: A man whirls a 0.20-kg piece of lead attached to the end of a string of length 0.500 m in a circular...
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An owner of a speedboat loves high speed but doesn't want to go anywhere. So he tethers the speedboat to a fixed buoy by a strong cable of length 40.0 m40.0 m, which supplies all the centripetal force to run the boat in circles around the buoy. When the tension in the cable is steady at 13500 N13500 N, with what force is the boat's engine pushing the boat? Assume that the mass of the speedboat (including the driver) is 645 kg645 kg. Take the water's drag force to be (450 kg/m)×v2(450 kg/m)×v2, where vv denotes the boat's speed. Ignore any drag force on the cable. Be sure to include the free-body diagram for the boat.

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