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  4. A jet of water with cross section of 6 cm 2 strikes a wall at an angle of 60° 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

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Q. A jet of water with 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

Solution:

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$\frac{d m}{d t}=\rho A v$
$\Delta P=F_{\text {avg }} \cdot 1\, \sec.$
$\Rightarrow 2 \rho A v^{2} \cos 60^{\circ}$
$\Rightarrow 1000 \times 6 \times 10^{-4} \times(12) \times \frac{1}{2} \times 2$
$=86.4\, Nt .$