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

$$F=A$$ρ$$v2$$ ⇒$$ma1=a$$ρ $$v2$$ ⇒$$a1=a$$ρ$$v2m$$ ⇒$$a1=a$$ρ$$2ghm$$  ∴$$a1=a$$ρ$$2ghAh$$ρ$$=2agA$$

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