In a hydraulic lift, if you exert a downward force of 100 N on a piston with an area of 1 m^3, how much upward force would be exerted on a piston with an area of 20 m^3?

Respuesta :

Answer:

[tex]F_2=2000\ N[/tex]          

Explanation:

We have,

Area 1, [tex]A_1=1\ m^3[/tex]

Force 1, [tex]F_1=100\ N[/tex]

Area 2, [tex]A_2=20\ m^3[/tex]

It is required to find the force 2. In a hydraulic lift, the pressure at two points is same. It means :

[tex]P_1=P_2\\\\\dfrac{F_1}{A_1}=\dfrac{F_2}{A_2}[/tex]

[tex]F_2=\dfrac{F_1A_2}{A_1}\\\\F_2=\dfrac{100\times 20}{1}\\\\F_2=2000\ N[/tex]

So, second force is 2000 N.