JEE Main Physics question
A flat plate moves normally with a speed v₁ towards a horizontal jet of water of uniform cross-section. The jet discharges water at the rate of volume V per second at a speed v₂. The density of water is ρ. Assume that water splashes along the surface of the plate at right angles to the original motion. The magnitude of the force acting on the plate due to the jet of water is
Answer: (D)
Solution
The jet's own cross-sectional area is A = V/v₂. Since the plate moves toward the jet at v₁, the relative approach speed of water hitting the plate is (v₁+v₂). The mass flow rate hitting the plate (in the plate's frame) is
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