Question

2. A hydraulic lift is used to lift heavy machine pushing down on a 5 square meters piston with a force of 1000 N. What force needs to be applied on the 1 square meter piston to lift the machine.

Answer 1

Step-by-step explanation:

Force, F = 1000 N

Area, A = 5 m²

Force needed for 1 m² is called pressure .

Pressure = Force / Area of crossection

P = 1000 / 5

P = 200 Pa

Answer 2

The force needs to be applied on the 1 square meter piston to lift the machine is 200 N.

Step-by-step explanation:

Given that,

Force,
`F_1=1000\ N`

Area,
`A_1=5\ m^2`

We need to find the force needs to be applied on the 1 square meter piston to lift the machine. We know that the pressure at every point is same due to Pascal's law such that :

`P_1=P_2\\\\(F_1)/(A_1)=(F_2)/(A_2)\\\\(1000)/(5)=(F_2)/(1)\\\\F_2=200\ N`

So, the force needs to be applied on the 1 square meter piston to lift the machine is 200 N. Hence, this is the required solution.