2. Boxes A and B are being pulled to the right by a rope attached to box B. Box A sits on top of box B, and both boxes accelerate together to the right at a rate of 1.75 m/s. The masses and coefficients of friction are as follows: m = 3.0 kg, mB = 7.0 kg, s,AB = 0.60, k, AB = 0.30, Hs, BF = 0.35, k,BF = 0.25. (Note that not all of this information will be needed to solve the problem). A Rope B Floor a. Draw complete free body diagrams for 1) box A, 2) box B, and 3) the system A+B. (30 points). Be sure do do ALL of the following: Use the symbols w, n, T, fs, and fk to denote the various types of forces. Each FBD all forces should include subscripts (with FAB meaning the force of A on B). Use the symbols A, B, F (for floor), R (for rope), and E (for earth) to denote the objects. If any of the forces in the three diagrams are 3rd Law pairs, denote this with slash marks. If you use one slash mark for the 1st pair, use two slash marks for the 2nd pair, etc. b. Write Newton's Second Law in the x and y directions for box A. Replace Fnet,x with the forces from your FBD, and do the same with Fnet,y. (8 points) c. Use (some of) the above result to calculate the magnitude of the force of friction between box A and box B. Pause here and consider whether the direction of acceleration is consistant with the direction of forces on your FBD. If not, correct your FBD! (7 points) d. Use whatever method you like to calculate the tension in the rope. Show your work so I can follow your reasoning. (25 points)