A floor jack constists of a small piston of cross-sectional area 2.0 cm2 connected to a large 2 piston of cross-sectional area 100 cm . What is the force on the small piston necessary to lift a 10,000 N car that rests on the large piston

Respuesta :

Answer:

force acting on small piston is 200 N

Explanation:

given data

cross-sectional area a = 2.0 cm² = 2 × [tex]10^{-4}[/tex] m²  

cross-sectional area a = 100 cm²= 100 × [tex]10^{-4}[/tex] =[tex]10^{-2}[/tex]m²  

force f = 10,000 N

to find out

force acting on small piston

solution

we know that here pressure will be equal at all level in horizontal

so pressure at p1 = pressure p2

and pressure = [tex]\frac{force}{area}[/tex]

so [tex]\frac{force1}{area1}[/tex]  = [tex]\frac{force2}{area2}[/tex]

put here value we get

[tex]\frac{force1}{2*10^{-4}}[/tex]  = [tex]\frac{10000}{10^{-2}}[/tex]

solve it we get

force 1 = 200 N

so force acting on small piston is 200 N