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Potential Energy

Find the mass...

Question

Find the mass of water lifted off by pump of 0.5 horsepower to height of 10 m in 49 seconds

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Solution

Power of pump = P = 0.5 hp = 0.5 746 W = 373 watts , ( 1 hp =746 watts)
h = height = 10m
g= 10m/s^2
t = time taken = 49 seconds
we will use formula , ( power = work / time ) to find work.
work = power x time = 373 49 =18,277 joules
now work done by pump = potential energy gaine by water = mgh
or m = work / (gh) = 18,277/ (1010) =182.77 kg
so mass of water = 182.77 kg

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