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 $N$)

Increase in pressure at one point of the enclosed liquid in equilibrium of rest is transmitted equally to all other points of liquid. This is as per ...........

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

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?

$A$ tall tank filled with water has an irregular shape as shown. The wall $CD$ makes an angle of $45^{\circ}$ with the horizontal,the wall $AB$ is normal to the base $BC$. The lengths $AB$ and $CD$ are much smaller than the height $h$ of water (figure not to scale). Let $p_1, p_2$ and $p_3$ be the pressures exerted by the water on the wall $AB$,base $BC$ and the wall $CD$ respectively. Density of water is $\rho$ and $g$ is acceleration due to gravity. Then,approximately

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 . . . . . . $kJ$.