$9\mathrm{.}15$ Consider a light piston prop$-$driven aircraft with the following features:

m $=1200$ kg$,$ S$=12\mathrm{.}5$ m$2,$ CLmax $=1\mathrm{.}7,$ P$=200$ hp$,$ np$=0\mathrm{.}8,$ CD$.=0\mathrm{.}032,$

K$=0\mathrm{.}062.$

a$.$ Determine the maximum producible load factor at sea level.

b$.$ Calculate the corner speed$$at$$sea$$level$.$

Note: $(1)$ Assume sea$-$level ISA conditions, unless otherwise stated. $(2)$ A turn implies a level coordinated turn, unless otherwise stated. $(3)$ The given m implies the maximum takeoff mass. $(4)$ The given T$/$P imply the maximum sea level thrust$/$power$.$