In car lift compressed air exerts a force `F_1` on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the car to be lifted is 1350 kg, what is `F_1 ?` What is the pressure necessary to ac complish this task ?

Options

A. `1. 4 xx 10 ^(5) Pa`
B. `2 xx 10^(5) Pa`
C. `1. 9 xx 10 ^(5) Pa`
D. `1. 9 Pa`

Answer

C

Explanation

Since presure is trasmitted undiminished throughout the fluid (Pascal.s law)
`F _(1) = (A _(1))/( A _(2)) F _(2) = (pi (5 xx 5 ))/( pi ( 5 xx 10 ^(-2) m )^(2)) = 1. 9 xx 10 ^(5) Pa`