Consider the arrangement shown in the figure. A box of mass m = 5.00 kg is pushed up a slope of inclination angle θ = 25° by an applied force F_{app}. The coefficients of static and kinetic friction between the box and the inclined plane are μ_{s} = 0.30 and μ_{k} = 0.20 respectively.

Calculate the maximum static frictional force that can exist between the box and the inclined plane. Note that your result should be *larger *than your answer to part b. Using your result for the maximum static frictional force, determine the minimum F_{app} required to get the box moving.