Answer:58.28 N
Explanation:
Given data
[tex]dia. of nozzle \left ( d\right )=2 cm[/tex]
[tex]initial velocity\left ( u\right )=15 m/s[/tex]
[tex]height\left ( h\right )=2m[/tex]
Now velocity of jet at height of 2m
[tex]v^2-u^2=2gh[/tex]
[tex]v^2=15^2-2\left ( 9.81\right )\left ( 2\right )[/tex]
[tex]v=\sqrt{185.76}=13.62 m/s[/tex]
[tex]Now\ forces\ on\ plate\ are\ weight\left ( Downward\right ) and jet\ force\left ( upward\right )[/tex]
equating them
W=[tex]\left ( \rho Av\right )v[/tex]
W=[tex]10^{3}\times \frac{\pi}{4}\left ( 0.02\right )^2\times 13.62^2[/tex]
W=58.28 N
