A speedboat with a mass of 529 kg (including the driver) is tethered to a fixed buoy by a strong 28.3 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 12300 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)×v2, where v denotes the boat's speed. Ignore any drag force on the cable. What is the force of the engine?
A speedboat with a mass of 529 kg (including the driver) is tethered to a fixed buoy by a strong 28.3 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 12300 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)×v2, where v denotes the boat's speed. Ignore any drag force on the cable.
What is the force of the engine?
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