A car of mass 1000 kg traveling at 50 km/h has hydraulic brakes with master cylinder area $\pi (0.5\,\text{cm})^2$ and slave cylinder area $\pi (2.5\,\text{cm})^2$. A 100 N force on the brake pedal yields a braking force of:
A100 N
B500 N
C2500 N
D5000 N
Answer & Solution
Correct answer: C. 2500 N
Area ratio = $(2.5)^2/(0.5)^2 = 25$. Pascal: $F_2 = F_1 \times A_2/A_1 = 100 \times 25 = 2500$ N at the slave cylinder/brake disc.
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