$A$ fully loaded Boeing aircraft has a mass of $5.4 \times 10^5 \, kg$. Its total wing area is $500 \, m^2$. It is in level flight with a speed of $1080 \, km/h$. If the density of air $\rho$ is $1.2 \, kg/m^3$,the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be $(g = 10 \, m/s^2)$.

$A$ 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 $g = 10 \ m/s^2$)

Water is flowing in a streamline manner in a horizontal pipe. If the pressure at a point where the cross-sectional area is $10 \,cm^2$ and velocity is $1 \,m/s$ is $2000 \,Pa$, then the pressure of water at another point where the cross-sectional area is $5 \,cm^2$ is: (in $\,Pa$)

Explain the upward force (dynamic lift) acting on an airplane wing.

To get the maximum flight (Magnus effect),a ball must be thrown as:

Does it matter if one uses gauge instead of absolute pressures in applying Bernoulli's equation? Explain.