Respuesta :
The force F, necessary to support an object with a mass of 812kg placed on piston 2 is 404.17 N.
What is Pascal's law?
According to Blaise Pascal's law, a pressure change in a confined, incompressible fluid that happens at any place is distributed evenly throughout the fluid, causing the identical change to occur everywhere.
Calculation of the force needed to support the mass :
[tex]\frac{F_{1} }{A_{1} } =\frac{F_{2} }{A_{2} }[/tex]
[tex]\frac{F_{1} }{d_{1} ^{2} } =\frac{F_{2} }{d_{2} ^{2} }[/tex]
[tex]F_{1} =\frac{F_{2}d_{1} ^{2} }{d_{2} ^{2} }[/tex]
Where
[tex]F_{2}[/tex] is force exerted on piston 2, F = mg
g = 9.8 m/[tex]s^{2}[/tex]
[tex]d_{2}[/tex] is given diameter of piston 2, = 8.83 cm
[tex]d_{1}[/tex] is given diameter of piston 1, = 1.99 cm
So the force [tex]F_{1}[/tex] on piston 1 = ?
[tex]F_{1}[/tex] = (812 x 9.8 x [tex]0.0199^{2}[/tex])/ [tex](0.0883)^{2}[/tex]
[tex]F_{1}[/tex] = 404.17 N
Hence, the force F, necessary to support an object with a mass of 812 kg placed on piston 2 is 404.17 N.
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