A hydraulic lift raises a 1.0 × 104 N car on a 0.30 m2 piston. If the compressor piston has an area of 0.015 m2 , what minimum force is needed to lift the car?

Answer 1

P₁=P₂ for a hydraulic system so F₁/A₁ = F₂/A₂ . You know 3 out of 4 variables. Use this equation to solve for the force.

You can also derive this from work in = work out (ideally) F₁d₁ = F₂d₂ and ΔV = d₁A₁ = d₂A₂ which can be rearranged to yield the same equation as above.

Good luck!