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

Write a short note on hydraulic brakes.

$A$ hydraulic lift as shown in the figure is used to lift a mass of $1000 \ kg$,which is placed on a piston $(P_1)$ of area $1 \ m^2$. If the cross-section area of the piston $(P_2)$ at the other end is $0.01 \ m^2$,then how much mass needs to be put on it to lift the $1000 \ kg$ (in $kg$)?

$A$ hydraulic press containing water has two arms with diameters as shown in the figure. $A$ force of $10 \,N$ is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is . . . . . . $N$.

$A$ hydraulic lift is shown in the figure. The movable pistons $A, B$ and $C$ have radii of $10 \,cm, 100 \,cm$ and $5 \,cm$ respectively. If a body of mass $2 \,kg$ is placed on piston $A$, what are the maximum masses that can be lifted by pistons $B$ and $C$ respectively?

In a car lift,compressed air exerts a force $F_{1}$ on a small piston having a radius of $5.0 \; cm$. This pressure is transmitted to a second piston of radius $15 \; cm$. If the mass of the car to be lifted is $1350 \; kg$,calculate $F_{1}$. What is the pressure necessary to accomplish this task? $(g = 9.8 \; m s^{-2})$