A block weighing $87\mathrm{.}5$ N rests on a plane inclined at $25\mathrm{.}0$ to the horizontal. A force F is applied to the object at $35\mathrm{.}0$ to the horizontal, pushing it upward on the plane. The coefficients of static and kinetic friction between the block and the plane are, respectively, $0\mathrm{.}388$ and $0\mathrm{.}156.($a$)$ What is the minimum value of F that will prevent the block from slipping down the plane? $($b$)$ What is the minimum value of F that will start the block moving up the plane? $($c$)$ What value of F will move the block up the plane with constant velocity?