$A$ large vessel of height $H$ is filled with a liquid of density $\rho$ up to the brim. $A$ small hole of radius $r$ is made at the side vertical face,close to the base. The horizontal force required to stop the gushing of liquid is ...........

Water flowing through a pipe of area of cross-section $2 \times 10^{-3} \,m^2$ hits a vertical wall horizontally with a velocity of $12 \,m \,s^{-1}$. If the water does not rebound after hitting the wall, then the force acting on the wall due to water is (in $\,N$)

Water is flowing at a speed of $1.5\, ms^{-1}$ through a horizontal tube of cross-sectional area $10^{-2}\, m^2$ and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm,the minimum force that you must exert should be ......... $N$ (density of water $= 10^3\, kgm^{-3}$)

$A$ jet of water with a cross-section of $6 \ cm^2$ strikes a wall at an angle of $60^{\circ}$ to the normal and rebounds elastically from the wall without losing energy. If the velocity of the water in the jet is $12 \ m/s$,the force acting on the wall is ....... $N$.

$A$ tube of length $50\,cm$ is filled completely with an incompressible liquid of mass $250\,g$ and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega = x \sqrt{F} \text{ rad } s^{-1}$. If $F$ is the force exerted by the liquid at the other end,then the value of $x$ will be:

Water is filled to a height $H$ behind a dam of width $w$. The resultant force on the dam is ..............