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

Which law states that the effect of pressure is the same for all portions of a confined fluid?

$A$ 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 $kg$)?

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

State and prove Pascal's law.

$A$ 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 . . . . . . $N$.