A car’s master cylinder is on the same horizontal level as the rear wheel cylinders…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A car’s master cylinder is on the same horizontal level as the rear wheel cylinders but

0.40\,\text{m}

higher than the front wheel cylinders. The density of brake fluid is

900\,\text{kg\,m}^{-3}

. The master piston has area

2.5\,\text{cm}^2

and the front wheel piston has area

4.0\,\text{cm}^2

. If the driver applies a force of

350\,\text{N}

on the master piston, calculate the force transmitted to one front wheel piston, taking the hydrostatic height difference into account. (Take

g = 9.8\,\text{m\,s}^{-2}

and neglect all losses.)