A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 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 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) x v, where v denotes the boat's speed. Ignore any drag force on the cable. force: TOOLS x10

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Chapter1: Units, Trigonometry. And Vectors
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A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 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 12300 N, with what force is the boat's engine pushing the boat

A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 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 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.
force:
N
& TOOLS
x10
Transcribed Image Text:A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 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 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. force: N & TOOLS x10
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