The working principle of brakes in automobiles is Pascal's law.

Two pistons of the hydraulic press have a diameter of $30 \mathrm{cm} \mathrm{and} 2.5 \mathrm{cm}$. Find the force exerts on the longer piston when a weight of $50 \mathrm{kg}$ is placed on smaller piston, If the stroke of the smaller piston is $4.0 \mathrm{cm}$, find the distance through which the longer piston will move after $10$strokes.

In a hydraulic machine, a force of $2 \mathrm{N}$ is applied on the piston of area of cross section $10 {\mathrm{cm}}^2$. What force is obtained on its piston of area of cross-section $100 {\mathrm{cm}}^2$?

The neck and the bottom of a bottle are $2 \mathrm{cm} \mathrm{and} 20 \mathrm{cm}$ in diameter respectively. If the cork is pressed with a force of $1.2 \mathrm{kgf}$ in the neck of the bottle, calculate the force exerted at the bottom of the bottle.