Question

A hydraulic jack is used to lift a car by applying a force of 120N at the pump piston,if the area of the ram and pump piston are 100cm squared and 1m squared respectively

Answer 1

Complete question:

A hydraulic jack is used to lift a car by applying a force of 120N at the pump piston, if the area of the ram and pump piston are 100cm squared and 1m squared respectively. What is the weight of the car?

Answer:

the weight of the car is 1.2 N

Step-by-step explanation:

Given;

applied force, F₁ = 120 N

area of the effort (pump), A₁ = 1 m²

area of the load (ram), A₂ = 100 cm² = 1 x 10⁻² m²

let the weight of the car = F₂

The applied pressure is constant and the following equations can be used to calculate the weight of the car.

`P = (F_1)/(A_1) = (F_2)/(A_2) \\\\F_2 = (F_1 * A_2)/(A_1) \\\\F_2 = (120 * (1* 10^(-2)))/(1) \\\\F_2 = 1.2 \ N`

Therefore, the weight of the car is 1.2 N