To lift an automobile of 2000 kg, a hydraulic pump with a large piston 30 cm square in area is employed. Calculate the force that must be applied to pump a small piston of area 10 square cm to achieve it.

Explanation

To solve the problem of lifting an automobile using a hydraulic pump, we can apply Pascal's principle, which states that pressure applied to a confined fluid is transmitted undiminished in all directions throughout the fluid.

### Step-by-Step Solution:

1. **Identify the Given Data**:
- Mass of the automobile (m) = 2000 kg
- Area of the large piston (A1) = 30 cm² = 30 × 10⁻⁴ m² = 0.003 m² (conversion to m²)
- Area of the small piston (A2) = 10 cm² = 10 × 10⁻⁴ m² = 0.001 m² (conversion to m²)
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