Question

In a hydraulic lift, the input piston has surface area 20 cm². The output piston has surface area 1000 cm² . If a force of 50 N is applied to the input piston, it raises the output piston by 2 m. Calculate the weight of the support on the output piston and the work done by it.

Answer 1

Data : A₁ = 20 cm² = 2 × 10^-3 m²

A₂ = 1000 cm² = 10^-1 m² , F₁ = 50 N, s₂ = 2m

(i) By Pascal’s law,

This gives the weight of the support on the output piston.

(ii) The work done by the force transmitted to the output piston is 

F₂S₂ = (2500 N) (2 m) 

= 5000 J