Two identical cylindrical vessels with a base on the same level each contain a l

Question

Two identical cylindrical vessels with a base on the same level each contain a liquid of density1.3x10^3 kg/m^3 the area of each base is 4 cm^2 but in one vessel the liquid height is 0.854 m and in the other it is 1.56 m find work done by grab force in equalizing the levels when the two vessels are connected
Two identical cylindrical vessels with a base on the same level each contain a liquid of density1.3x10^3 kg/m^3 the area of each base is 4 cm^2 but in one vessel the liquid height is 0.854 m and in the other it is 1.56 m find work done by grab force in equalizing the levels when the two vessels are connected

Explanation / Answer

Difference in heights = 1.56 - 0.854 = 0.706 m
Half of this height is 0.353m
To equalise the levels , 0.353m height of liquid is to be transferred to the other vessel
Work done = pressure * area* distance moved = height* density* g *area * distance moved
0.353*130e3*9.8*0.0004*0.353 =63.5 J

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