In a car lift, compressed air exerts a force `F_(1)` on a small piston having a radius of `0.5 cm`. This pressure is transmitted to a second piston of radius 10.0 cm . If the mass of the car to be lifted is 1350 kg. calculate `F_(1)`. What is the pressure necessary to accomplish this task?

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Problem
We have a car lift with two pistons. The first piston has a radius of \( r_1 = 0.5 \, \text{cm} \) and the second piston has a radius of \( r_2 = 10.0 \, \text{cm} \). The mass of the car to be lifted is \( m = 1350 \, \text{kg} \). We need to find the force \( F_1 \) exerted by the compressed air on the small piston and the pressure necessary to lift the car.

### Step 2: Convert Units
Convert the radius from centimeters to meters:
- \( r_1 = 0.5 \, \text{cm} = 0.005 \, \text{m} \)
...