How Much Work Was Done by the Pump to Drain a Flooded Basement?

AI Thread Summary
To calculate the work done by the pump to drain a flooded basement, first determine the volume of water using the basement dimensions and depth, which is 10.3m by 18.4m with a depth of 0.44m. The mass of the water can be calculated by multiplying the volume by the density of water (1000 kg/m^3). The work done by the pump is then derived from the change in gravitational potential energy, considering the height the water is lifted (3.2m). The velocity of water leaving the pipe (2.4m/s) is noted but does not directly impact the work calculation. Accurate calculations will yield the total work performed by the pump in draining the basement.
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Homework Statement



The floor of a basement in a house is 3.2m blow the grade of a window sill. If the Basement has flooded to a depth of 0.44m and the basement is 10.3m by 18.4m. If the water leaves the pipe at 2.4m/s, how much work was done by the pump. (Density of water is 1000 kg/m^3)


Homework Equations


Mass = Density * volume
Work = Delta Energy



The Attempt at a Solution


Im clueless
 
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Try assuming all the water is at its center of mass for calculation purposes.
 
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