Aheavy box (100 kg) sits on a horizontal floor. its square base is 58.3 cm on each side and it is 150 cm tall. it’s packed so that its center of mass is at its geometrical center. to move it, you push to apply a horizontal force to its upper edge closest to you, and slowly increase your force until something happens. the coefficient of static friction between the box and the floor is 0.362, and the friction can be taken to act in the middle of the bottom of the box. a. will the box move horizontally or tip first? b. how much force will you be applying at that time?