$A$ wind with speed $40 \ m/s$ blows parallel to the roof of a house. The area of the roof is $250 \ m^2$. Assuming that the pressure inside the house is atmospheric pressure,the force exerted by the wind on the roof and the direction of the force will be $(\rho_{air} = 1.2 \ kg/m^3)$.

Water is moving with a speed of $5.0\,m/s$ through a pipe of cross-sectional area $4.0\,cm^2$. The water gradually descends $10\,m$ as the pipe increases in area to $8.0\,cm^2$. If the pressure at the upper level is $1.5 \times 10^5\,Pa$,the pressure at the lower level will be:

Write the limitations and uses of Bernoulli's equation.

Bernoulli’s theorem is a consequence of

What is the nature of the pressure-distance graph for the pipe shown in the figure?

$A$ tank of height $15 \ m$ and cross-section area $10 \ m^2$ is filled with water. There is a small hole of cross-section area $a$ which is much smaller than the container,located at a height of $12 \ m$ from the base of the container. How much force should be applied with a piston at the top level,so that the water coming out of the hole hits the ground at a distance of $16 \ m$ (in $kN$)? (Take,density of water $\rho = 1000 \ kg \ m^{-3}$ and $g = 10 \ m/s^2$)