A jet of liquid with a velocity of 25 m/s and its relative density 0.8 strikes normally a plate moving towards from it at 15 m/s. The jet has an area of 0.03 m2. The force exerted by plate on the jet is

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JSSC JE Mechanical 3 July 2022 Official Paper - II
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  1. 38.4 kN
  2. 44.4 kN
  3. 32.5 kN
  4. 2.4 kN

Answer (Detailed Solution Below)

Option 1 : 38.4 kN
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Detailed Solution

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Concept:

Force exerted by a jet on the vertical moving plate in direction of the jet with velocity u is given by:

\(F = \rho a(v-u)^2\)

where ρ = Density of Liquid, v = velocity of Jet, u = velocity of plate, a = area of jet

Calculation:

Given:

v = 25 m/s, u = -15 m/s, a = 0.03 m2, Relative Density of Jet Liquid = 0.8

Density of Jet Liquid, ρ = 0.8 × 1000 = 800 Kg/m3

F = 800 × 0.03 (25 + 15)2

F = 38400 N

F = 38.4 KN

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