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.

Remember concepts with our Masterclasses.

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.

Remember concepts with our Masterclasses.

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.