$5-53)$ To prevent a box from sliding down an inclined plane, student A pushes on the box in the direction perpendicular to the incline, just hard enough to hold the box stationary. In an identical situation, student B pushes on the box horizontally. Regard as known the mass m of the box, the coefficient of static friction $$s between box and incline, and the inclination angle q$.($a$)$ Determine the force A has to exert. $($b$)$ Determine the force B has to exert. $($c$)$ if m $=2\mathrm{.}00$ kg$,$ q $=25\mathrm{.}0,$ and $$s $=0\mathrm{.}160,$ who has the easier job?