A cylindrical vessel contains a liquid of density rho upto a height h. The liquid is closed by a piston of mass mand area of cross section A. There is a small hole at the biottom of the vessel. Find the speed v with which the liquid comes of out of the hole.

A cylindrical vessel contains a liquid of density rho upto a height h.

1.	A cylindrical vessel contains a liquid of density rho upto a height h. The liquid is closed by a piston of mass mand area of cross section A. There is a small hole at the biottom of the vessel. Find the speed v with which the liquid comes of out of the hole.
Answer» Solution :Applying Bernouylli.s THEOREM at 1 and 2 difference in pressure ENERGY between 1 and 2= difference in kinetic energy betwee 1 and 2 or `rhogh+(mg)/A=1/2 rho v^(2)` or `v=sqrt(2gh+(2MG)/(rhoA))=sqrt(2(gh+(mg)/(rhoA)))`