Physics
Fluid-Mechanics
Easy

Question

A tank of height 15 m and cross-section area 10 m2 is filled with water. There is a small hole of cross-section area ' a ' which is much smaller than the container, located at a height of 12m from the base of the container. How much force should be applied with a piston at the top level, so that the water coming out of the hole hits the ground at a distance of 16 m. (Take density of water =1000 kg / m3)

  1. 233 k N
  2. 200 k N
  3. 320 space k N
  4. 400 k N

The correct answer is: 233 k N


    As, range of water jet =16 m.
    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell v equals square root of 2 g h plus fraction numerator 2 left parenthesis p minus p subscript a right parenthesis over denominator rho end fraction end root comma rho equals 1000 kg minus straight m to the power of negative 3 end exponent end cell row cell not stretchy rightwards double arrow 2 cross times 103 plus fraction numerator 2 straight capital delta p over denominator 1000 end fraction equals fraction numerator 2560 over denominator 2 cross times 12 end fraction not stretchy rightwards double arrow straight capital delta p equals 233 straight k N over m squared end cell end table

text So force applied end text straight capital delta p cross times A equals 233 kN

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