In a hydraulic jack as shown,the mass of the car is $W = 800 \, kg$,$A_1 = 10 \, cm^2$,and $A_2 = 10 \, m^2$. The minimum force $F$ required to lift the car is ........... $N$.

In a hydraulic lift,if the radius of the smaller piston is $5 \ cm$,and the radius of the larger piston is $50 \ cm$,then the weight that the larger piston can support when a force of $250 \ N$ is applied to the smaller piston is (in $kN$)

$A$ hydraulic automobile lift is designed to lift cars with a maximum mass of $3000 \; kg$. The area of cross-section of the piston carrying the load is $425 \; cm^{2}$. What maximum pressure would the smaller piston have to bear?

State Pascal's law for pressure transmission and explain its significance.

$A$ piston of cross-sectional area $2.5 \times 10^{-2} \text{ m}^2$ is used in a hydraulic lift to exert a force of $250 \text{ N}$ on water. The cross-sectional area of the other piston which supports a car of mass $3000 \text{ kg}$ is $(g = 9.8 \text{ m/s}^2)$ (in $\text{ m}^2$)

State and prove Pascal's law.