A cubical vessel of height 1m is full of water.The minimum work done in taking water out from the vessel will be???

Asked by  | 2nd Oct, 2012, 11:54: AM

Expert Answer:

let us take an elemental lenght along the height of the vessel dx at a height x
let the area of the basse of  the cube be A
thus the volume of that elemental strip will be: A dx
and potential energy will be : xg(A dx)p
where p is the density of water
thus total potential energy can be found out by integrating this along the whole height of the cube: gAp(1/2)
this will be the work dont to take the whole water out.

Answered by  | 4th Oct, 2012, 08:36: AM

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