How much work is done in an hour?

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AI Thread Summary
The discussion centers on calculating the work done by a man pumping water at a rate of 20 liters per minute to a height of 10 meters, with friction neglected. The initial calculation of power was incorrectly divided by 60 minutes instead of 60 seconds, leading to a misunderstanding of the units. The correct formula for power should use seconds, resulting in a value of 32.67 J/s, or watts. To find the total work done in an hour, this power value must be multiplied by the total number of seconds in an hour. The final calculation clarifies the importance of unit conversion in determining the correct amount of work done.
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Homework Statement


A man pumps water at a rate of 20 liters per minute to a height of 10 meters. How much work does he do in an hour? Friction is to be neglected. A liter of water is taken to weigh 1 kilogram.



Homework Equations





The Attempt at a Solution


If 1 liter=1 Kilogram then 20 liters = 20 kg
Work is a kind of energy conversion. The work done per unit of time is
P= ΔE/ ΔT = (20)(9.8)(10)/(60minutes) = 32.67J/minute

Is this correct? I'm unsure about the conversions?
 
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Your answer for the power is correct, but you should divide by 60 seconds, not 60 minutes, and the answer would then be in J/s, or W You need to multiply that with the number of seconds in an hour to get the answer to the question.
 
So the correct answer would be:
P = ΔE/ ΔT = (20)(9.8)(10)/(60seconds) = 32.67J/seconds
 
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