Q$2)$ The vertical flow supports the horizontal plate. The mass of the plate is $m.$ The elevation of the plate from the pipe outlet is $Z.$ The velocity of the liquid at the pipe Outlet is $V,$ the pipe area is $A,$ and the density of the liquid is $.$

$A,$ and the is area

i$)$ Show the relationship between the mass of the plate $m$ and the velocity of the jet $V$ is given by

$m=\frac{AV}{g}\sqrt[\phantom{2}]{\frac{V^2}{2g}-z}$

ii$)$ The vertical liquid jet impacts the horizontal plate. The velocity of the liquid at the pipe outlet is $10\frac{m}{s}$ and the diameter of the pipe outlet is $10cm.$ The density of the liquid is $1500k\frac{g}{m^3}.$ Calculate the mass of the plate.

iii$)$ Cheek whether the following statements are true or false, Explain your answer

a$)$ The plate car of hydrody be lifted by increasing the velocity of the liquid at the pipe outlet.

b$)$ The plate can be lifted by decreasing the diameter of the pipe outlet. You may assume the flow rate is constant.

c$)$ The plate can be dropped by decreasing the mass of the plate.

d$)$

e$)$ The plate can be lifted by increasing the density of the liquid.