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Physics

Fluid-Mechanics

Easy

Question

A piston of cross section area $10 to the power of negative 2 end exponent m squared$ is used in a hydraulic press to exert a force of 10⁷ dynes on the water. Then the cross sectional area of the piston which supports a truck of mass 2000Kg is

$0.196 m^{2}$
$19.6 m^{2}$
$18.6 m^{2}$
$1.96 m^{2}$

The correct answer is: $0.196 m squared$

$table attributes columnalign left end attributes row cell F subscript 1 over F subscript 2 equals A subscript 1 over A subscript 2 end cell row cell rightwards double arrow fraction numerator 10 squared over denominator 2000 cross times 9.8 end fraction equals 10 to the power of negative 2 end exponent over A subscript 2 end cell row cell rightwards double arrow A subscript 2 equals fraction numerator 2000 cross times 9.8 cross times 10 to the power of negative 2 end exponent over denominator 10 squared end fraction equals 1.96 m squared end cell end table$

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