An intense stream of water of cross section area A strikes a wall at an angle θ with the normal to the wall and rebounds elastically. If the density of water is ρ and its velocity is v , then the force exerted on the wall will be

Question

An intense stream of water of cross section area A strikes a wall at an angle θ with the normal to the wall and rebounds elastically. If the density of water is ρ and its velocity is v , then the force exerted on the wall will be, 2 A v 2 ρ, A v 2 ρ, 2 A v 2 ρ sin θ, 2 A v 2 ρ cos θ

MARKS App · Accepted Answer

Linear momentum of water striking per second to the wall p i = m v = A v ρ v = A v 2 ρ , Linear momentum of reflected water per second p r = A v 2 ρ ∴ Change in momentum of water per second = ρ i c o s θ + p r c o s θ = 2 A v 2 ρ c o s θ By the definition of force, force exerted on the wall = 2 A v 2 ρ c o s θ

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