A small opening near the bottom of the vessel shown in figure has area ‘A’. A disk is held against the opening to keep the liquid from running out. Let $$F1$$ be the net force on the disk applied by liquid and air in this case. Now the disk is moved away from the opening a short distance. The liquid comes out and strikes the disk inelastically. Let $$F2$$ be the force exerted by the liquid in this condition just after the disc is moved. Then $$F1F2$$ is

Question

A small opening near the bottom of the vessel shown in figure has area ‘A’. A disk is held against the opening to keep the liquid from running out. Let $$F1$$  be the net force on the disk applied by liquid and air in this case. Now the disk is moved away from the opening a short distance. The liquid comes out and strikes the disk inelastically. Let $$F2$$  be the force exerted by the liquid in this condition just after the disc is moved.  Then $$F1F2$$  is

Infinity Learn · Accepted Answer

Let ‘ρ     ’ be the density of  liquid.  Then  $$F1=($$Δ$$P)A=$$ρgh  A     …………………(1)In$$ the second $$caseF2=$$      rate of change of  momentumρ$$Av2=$$ρ$$A(2gh)2$$     Or  $$F2=2$$ρgh  A      ……………$$(2)From$$ equations $$(1) and  $$(2)F1F2=12$$

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