A large open top container of negligible mass and uniform cross sectional area A has a small hole of cross sectional area a in its side wall near the bottom. The container is kept over a smooth horizontal floor and contains a liquid of density ρ and mass $$m0$$ . Assuming that the liquid starts flowing through the hole A, the acceleration of the container will be

Question

A large open top container of negligible mass and uniform cross  sectional area A has a small hole of cross sectional area a in its side wall  near the bottom.  The container is kept  over a smooth horizontal floor and contains a liquid of density ρ      and mass $$m0$$     . Assuming that the liquid starts flowing through the hole  A, the acceleration of the container will be

Infinity Learn · Accepted Answer

$$F=A$$ρυ$$2$$⇒$$ma1=a$$ρυ$$2$$       ⇒$$a1=a$$ρυ$$2m=a$$ρ×$$2ghm$$     ∴$$a1=a$$ρ$$2ghAh$$ρ$$=2agA$$

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