5. Two boxes 3M and M are in contact with each other. There is a kinetic friction force fx on box M due to the floor but the surface of box 3M is smooth so the friction force between this box and the floor is negligible. A horizontal force P is applied P the larger block as shown. Assume P > fk 3M M a. Draw the free body diagram for the system of the two boxes, i.e., treat the two boxes as one object and show only the outside forces acting on the boxes. b. Draw the free-body diagram for each box individually. Remember that only forces that directly act on a box should be on the FBD for the box. c. Use the FBD of the system to determine the acceleration of the blocks. Check that your answer contains only the givens P, M, fx and physical constants such as g. Make sure your answer is dimensionally correct. Note that symbols contain units in them so you should NOT write units in explicitly in symbolic answers. d. Use the FBD for one of the individual boxes to find the magnitude of the force of one block on the other in terms of the givens.4. A 4 kg book is slid across a ceiling using the 100 N force directed as shown. The book speeds up to the right with a rate of 1.5 m/s2. a. What is the normal force between the book and the ceiling? 600 b. What is the kinetic friction force between the book and the ceiling