A jet of water having velocity = 10 m s⁻¹ and stream cross-section = 2 cm² hits a flat plate perpendicularly, with the water splashing out parallel to plate. Find the force (in N) that the plate
Physics · Fluid Mechanics
JEE Mains Practice

Question

A jet of water having velocity = 10 m s⁻¹ and stream cross-section = 2 cm² hits a flat plate perpendicularly, with the water splashing out parallel to plate. Find the force (in N) that the plate

G1 Physics · Accepted Answer

Step 1: Use continuity A₁v₁ = A₂v₂ and Bernoulli's equation P + ½ρv² + ρgh = constant; for jets use momentum flux ṁΔv. Step 2: Substitute the stated areas, levels and pressures, including Torricelli v = √(2gh) where applicable. Applying these relations to the given data gives 20. Final answer: 20.