Two cylindrical vessels of equal cross sectional area contain water up to heights $$h1$$$$h2$$ and $$h2$$ . The vessels are inter connected so that the levels in them become equal. Calculate the work done by the force of gravity during this process if ρ is the density of water.

Question

Two cylindrical vessels of equal cross sectional area contain water up to heights $$h1$$>$$h2$$   and $$h2$$ . The vessels are inter connected so that the levels in them become equal. Calculate the work done by the force of gravity during this process if  ρ is the density of water.

Infinity Learn · Accepted Answer

Since volume is constantHeight in each vessel after inter connection is  $$h1+h22Mass$$ of water in vessel in which liquid falls  $$=$$ρ$$Ah1-h1+h22=$$ρ$$Ah1-h22Height$$ descended by this water $$=$$  $$h1-h22Work$$ done  $$=$$ρ$$Ah1-h222g$$

Two cylindrical vessels of equal cross sectional area contain water up to heights $h_{1} (> h_{2})$ and $h_{2}$ . The vessels are inter connected so that the levels in them become equal. Calculate the work done by the force of gravity during this process if $ρ$ is the density of water.

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material

Two cylindrical vessels of equal cross sectional area contain water up to heights h1>h2 and h2 . The vessels are inter connected so that the levels in them become equal. Calculate the work done by the force of gravity during this process if ρ is the density of water.

Unlock the full solution & master the concept.

Ready to Test Your Skills?

free study material

Two cylindrical vessels of equal cross sectional area contain water up to heights $h_{1} (> h_{2})$ and $h_{2}$ . The vessels are inter connected so that the levels in them become equal. Calculate the work done by the force of gravity during this process if $ρ$ is the density of water.