How Much Oil Can a 65% Efficient 5kW Motor Pump Per Minute?

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A 5 kW motor operating at 65% efficiency can pump oil to a height of 20 meters. The energy required to lift 1 liter of oil is calculated based on gravitational potential energy. The discussion focuses on determining the work output of the motor and how much energy is available for pumping oil per minute. By considering the motor's efficiency, participants aim to calculate the total liters of oil that can be pumped in that timeframe. The key challenge is to connect the motor's efficiency with the energy needed to lift the oil.
tysajdak
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Homework Statement


I am using a 5 kilowatt motor to pump oil to a holding tank which is 20 m above the pump. If the motor is 65% efficient, how many liters of oil can i pump per minute if 1 liter of oil has a mass of 1.30 kg?

Homework Equations


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The Attempt at a Solution


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tysajdak said:

The Attempt at a Solution


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Well if the efficiency is 65% how much is the work output of the motor?
 
How much energy does it take to lift 1 liter of oil 20 meters? After accounting for the efficiency of the motor, how much energy per minute is furnished to the pump?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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