Problem $6$: stalling speed $(15$ pts$).$ Consider a light, single$-$engine airplane such as the Piper Super Cub. If the maximum gross weight of the airplane is $7780$ N $,$ the wing area is $\backslash (16\mathrm{.}6\backslash$mathrm$\{$~m$\}^\{2\}\backslash ),$

$($a$)(5$ pts$)$ If the maximum lift coefficient is $1\mathrm{.}5$ without high$-$lift devices, calculate the stalling speed $($in $\backslash (\backslash$mathrm$\{$km$\}/\backslash$mathrm$\{$h$\})\backslash )$ at sea level.

$($b$)(10$ pts$)$ If the target landing airspeed is $\backslash (68\backslash$mathrm$\{$~km$\}/\backslash$mathrm$\{$h$\}\backslash ),$ what is the required maximum lift coefficient with flaps down?