In a hydraulic lift,the surface area of the input piston is $6 \ cm^2$ and that of the output piston is $1500 \ cm^2$. If $100 \ N$ force is applied to the input piston to raise the output piston by $20 \ cm$,then the work done is . . . . . . $kJ$.

In a vehicle lifter, the enclosed gas exerts a force $F$ on a small piston of $8 \text{ cm}$ diameter. The pressure is transmitted to a second piston of diameter $24 \text{ cm}$. If the mass of the vehicle to be lifted is $1400 \text{ kg}$, then $F$ must at least be $(g=10 \text{ ms}^{-2})$. (in $\text{ N}$)

State and prove Pascal's law.

The diameters of two pistons of a hydraulic press are $0.1\, m$ and $0.6\, m$ respectively. What is the mechanical advantage of the hydraulic press,assuming the effort is applied directly on the pump plunger?

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 $N$)

Why does the bottom of a bottle filled with liquid break when the cork is hit?