A liquid is poured into a vessel at rest with the hole in the wall closed. It is filled to a height H. With what horizontal acceleration should the vessel be moved so that the liquid does not come out, when the hole is opened ?

If A be the area of the hole and p, the density of the liquid, thenF=ΔPΔt=Δ(mv)Δt=VΔmΔt =VΔ(Vρ)Δt=vρΔVΔt = vρ [volurne flowing/sec] =vρ[Av]=v2Aρ v= Velocity of liquid coming out ftom hole,  i.e.,  V=(2gh) ∴ F=(2gh)Aρ The mass of the liquid on which this force acts m=Alρ  Now a=Fm=(2gh)AρAlρ=2ghl