Power of a Sump Pump Moving 20 Gal/min

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To determine the power required for a sump pump moving 20 gallons per minute from a basement to a storm drain 6 feet above, the relevant equations include Power = Work x Time and the relationship between Power, Force, and Velocity. The discussion highlights the need to focus on gravitational potential energy since kinetic energy changes are negligible. Participants emphasize the importance of using correct formulas and suggest looking for other energy equations that apply to the scenario. The conversation underscores the need for clarity in understanding the principles of power and energy in fluid dynamics.
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1. Homework Statement

A sump pump moves 20 gal/min of water from a basement of a building to storm drain 6ft above. Determine the power required for the pump. (Assume the pump is 100% efficient and that changes in kinetic energy are negligible.)


2. Homework Equations
Power= Work x Time
Kinetic Energy=1/2mV^2

3. The Attempt at a Solution
The equation can be re-written as Power= Force x Velocity but I am unsure of how to continue with this problem. Any help getting me on the right track would be very appreciated.
 
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This is clearly homework, so shouldn't be posted here.

Anyway, I'm not sure where you got Power = work x time from; that is incorrect so that won't help your working. Also, the question says that changes in kinetic energy can be assumed to be negligible, so do you know any other formulae for energy which may be relevant here?
 

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