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
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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