Question

In a car lift, compressed air exerts a force $F$ on a small piston having a radius of $5cm$. This pressure is transmitted to a second piston of radius $15cm$. If the mass of the car to be lifted is $1350kg$, what is $F$?

• A. $1.5\times {10}^{3}N$
• B. $2.5\times {10}^{3}N$
• C. $3.5\times {10}^{3}N$
• D. $4.5\times {10}^{3}N$

Answer 1

The correct option is D $4.5\times {10}^{3}N$

pascal's law states that

$F_1{d}_1=F_2{d}_2$

$P_1=\frac{F_1}{A_1},P_2=\frac{F_2}{A_2}$

Let $F_1=F$

$F_2=1350\times 10N$

$d_1=10cm$

$d_1=30cm$

$F\times 10=13500\times 30$

$F=\frac{405000}{10}$

$F=4.5\times {10}^{3}N$