The brake system in most cars makes use of a hydraulic system. This system consi

Question

The brake system in most cars makes use of a hydraulic system. This system consists of a fluid filled tube connected at each end to a piston. Assume that the piston attached to the brake pedal has a cross sectional area of one half a square inch and the piston attached to the brake pad has a cross section area of two square inches. When you apply a force of 10 pounds to the piston attached to the brake pedal, the force at the brake pad will be

1. 5 pounds.

2. 10 pounds.

3. 20 pounds.

4. 40 pounds.

Explanation / Answer

A1 = 0.5 sq inch
A2 = 2 sq inch
F1 = 10 pounds
F2 = ?

We know that
F1/A1 = F2/A2 [ same pressure]
10/0.5 = F2/2
F2 = 40 pounds

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