Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by

$A$ hydraulic automobile lift is designed to lift vehicles of mass $5000\,kg$. The area of cross-section of the cylinder carrying the load is $250\,cm^2$. The maximum pressure the smaller piston would have to bear is [Assume $g = 10\,m/s^2$].

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 ........... $N$.

Write a short note on hydraulic brakes.

In a hydraulic lift,compressed air exerts a force $F$ on a small piston of radius $3 \ cm$. Due to this pressure,the second piston of radius $5 \ cm$ lifts a load of $1875 \ kg$. The value of $F$ is (Acceleration due to gravity $= 10 \ m \ s^{-2}$) (in $N$)

$A$ piston of cross-section area $100 \, cm^2$ is used in a hydraulic press to exert a force of $10^7 \, dynes$ on the water. The cross-sectional area of the other piston which supports an object having a mass $2000 \, kg$ is: