Question

A car lift has an input piston that has an area of 50 cm² and an output piston that has an area of 200 cm². If a 100 N force is applied to the input piston, what is the force produced by the output piston?

Answer 1

The force produced by the output piston is 400 N.

Step-by-step explanation:

Given;

area of the input piston, A₁ = 50 cm²

area of the output piston, A₂ = 200 cm²

load on the input piston, F₁ = 100 N

Let the force produced by the output piston, = F₂

From Pascal's principle, the ratio of the input force to the input area is equal to the ratio of the output force to the output area.

`(F_1)/(A_1) = (F_2)/(A_2) \\\\F_2 = (F_1A_2)/(A_1) = (100 * 200)/(50) = 400 \ N\\`

Therefore, the force produced by the output piston is 400 N.