Consult Multiple$-$Concept Example $9$ to explore a model for solving this problem. A person pushes on a $59-$kg refrigerator with a horizontal force of $-280$ N; the minus sign indicates that the force points in the $-$x direction. The coefficient of static friction is $0\mathrm{.}56.($a$)$ If the refrigerator does not move, what are the magnitude and direction of the static frictional force that the floor exerts on the refrigerator? $($b$)$ What is the magnitude of the largest pushing force that can be applied to the refrigerator before it just begins to move? Assume g $=9\mathrm{.}8$ m$/$s$2.$