Question 1013301
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In a hydraulic car brake the master piston has an area of 5 cm^2 while the area of the slave piston is 50 cm^2 when the driver presses on the brake pedal a force of 500 n is exerted on the master piston calculate the pressure transmitted through the brake fluid and the force exerted by the slave piston on the brake pad
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The pressure transmitted through the brake fluid is 

P = {{{F[1]/S[1]}}},

where {{{F[1]}}} is the force the driver applies to the brake pedal (in newtons), and  {{{S[1]}}} is  the area of the master piston in {{{m^2}}}.

So, the pressure is {{{500/0.0005}}} = 1000000 Pa (Pascals).

The force exerted by the slave piston on the brake pad is 

{{{F[2]}}} = {{{P*S[2]}}},

where P is the pressure transmitted through the brake fluid, and  {{{S[2]}}} is the area of the slave piston in {{{m^2}}}.

So, the force exerted by the slave piston on the brake pad is 1000000*0.005 = 5000 newtons.
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