A constant-velocity horizontal water jet from a stationary nozzle impinges normally on a vertical flat plate that rides on a nea

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12 days ago

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A constant-velocity horizontal water jet from a stationary nozzle impinges normally on a vertical flat plate that rides on a nea

rly frictionless track. As the water jet hits the plate, it begins to move due to the water force. As a result, the acceleration will _____.

Physics

1 answer:

Yuliya22 [2.4K] · Answer 1 · 2026-03-13T13:24:12+03:00

Answer:

a = ½ ρ A/M v₁²

Explanation:

This scenario involves fluid mechanics, where a water jet moving at a constant velocity strikes a paddle and during this interaction, the water remains motionless. We will apply Bernoulli's equation, labeling the jet before the impact as index 1 and after the impact as index 2.

P₁ + ½ ρ v₁² + ρ g h₁ = P₂ + ½ ρ v₂² + ρ g h₂

In this case, the water is at rest post-impact, hence v₂ = 0, while h₁ = h₂ remains horizontal.

P₁-P₂ = ½ ρ v₁²

ΔP = ½ ρ v₁²

Now we can use the definition of pressure as a force divided by area.

F / A = ½ ρ v₁²

F = 1/2 ρ A v₁²

The density can be defined as

ρ = m / V

The volume is

V = A l

F = ½ m / l v₁²