How Much Power Does the Elevator Cable Exert in kW?

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To determine the average power exerted by the elevator cable, the formula P = Fv is used, where P is power in kilowatts, F is the force, and v is the velocity. The mass of the elevator cab is 3,000 kg, and it moves 165 m in 23 seconds, resulting in a constant speed. The force from the cable must counteract the gravitational force acting on the cab, which is calculated as F = mg, where g is the acceleration due to gravity (approximately 9.81 m/s²). The average velocity is calculated as v = distance/time, which equals 165 m / 23 s. By substituting the values into the power formula, the average rate of work done by the cable can be determined in kilowatts.
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The loaded cab of an elevator has a mass of 3.0 103 kg and moves 165 m up the shaft in 23 s at constant speed. At what average rate does the force from the cable do work on the cab?


I don't even know where to begin. The answer is in kW
 
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Employ a formula to calculate power:

P = Fv
 
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