Problem 4. A box of mass m is at rest on a table. You give it a. kick initially, so it starts moving with velocity 110 at t = 0. The edge of the table is a distance d away from the initial position of the box. The coefcient of kinetic friction between the box and the table is #k- In order to stop the box from falling off the table, you are applying a force vertically (Le. the force is perpendicular to the table) to the box, but you are increasingly adding more and more force, so that the additional vertical force is F = bxz, where a: is the diSplacement from the initial position of the mass. (a) What are the units of b? (b) What is the work done by the force F you are applying? (c) What is the minimum it needs to be so that the box stops right at the edge of the table? (d) If you were to apply a constant vertical force instead, how large would its magnitude need to be so that the box stops at the edge of the table