Due: $1$ues., Oct. $22,2024$

$1.$ The Canadair CL$-215$T amphibious aircraft is specially designed to fight fires. It is the only production aircraft that can scoop water, as sketched in Figure $1,$ at up to $23,000$ liters in $12$ seconds, from any lake, river, or ocean. Determine the added thrust required during water scooping as a function of aircraft speed $\backslash ($ U $\backslash ).$ What added thrust is required for $\backslash ($ U$=150\backslash$mathrm$\{$~km$\}/\backslash$mathrm$\{$hr$\}\backslash )?$

Figure $1$: Geometry and control volume for Question $1.$