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 forc

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

TestHub · 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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