A factory worker is dragging a safe along a straight line on the factory's level floor. The worker is using a rope that is attached to the safe as shown above. The angle 6 the rope makes with the horizontal is known, as is the safe's mass m in kilograms. The constant tension T in the rope created by the worker pulling it to drag the safe at a constant velocity is also known. What is not yet known are the materials that make up the safe and the factory floor. Oddly enough, the safe could be made out of rubber or steel. Perhaps even stranger, if the safe is made out of rubber, the floor could be either dry concrete or wet concrete. If the safe is made out of steel, the floor could be dry steel, steel covered in oil, or it could just be a sheet of ice. By completing the lettered sections below, you will determine the materials that make up the safe and the factory floor. Hint: before you start working on this question, consult Table 5.1 in the e-textbook (p. 177). (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only standard variables like the ones we have employed in class. Please use unruled paper or engineering paper. This part of the Chapter 5 assignment is due in class on Wednesday November 2. (b) Draw and label the FBD of the safe as it is dragged on the factory's level floor at a constant velocity. Each external force must be represented by an arrow that is properly labeled and includes its angle (if any). My the x and y (b) Draw and label the FBD of the safe as it is dragged on the factory's level floor at a constant velocity. Each external force must be represented by an arrow that is properly labeled and includes its angle (if any). Be sure to show explicitly the x and y coordinate system you will use. Hint: is it kinetic or static friction that acts on the safe as it is being dragged? (c) Using the FBD of the safe as your point of reference, clearly and neatly write Newton's mple Second Law equation in the x direction. Next, simplify it using the Given and then solve for the friction in terms of the other variables. Call this equation [1]. (d) Using the FBD of the safe as your point of reference, clearly and neatly write Newton's mplei Second Law equation in the y direction. Next, simplify it using the Given and then solve for the normal force, N, in terms of the other variables. Call this equation [2]. (e) Use equation [1], equation [2], and the relationship between the normal force and the type of friction that acts on this dragged safe to derive a si_ngl_e_ equation that will solve for the coefficient of friction in terms of T, m, and 6. Call this equation [3]. (f) If m = 50.0 kg, T: 17.0 N, and 9 = 320" (as drawn above), use equation [3] to find the (static or kinetic?) coefficient of friction to % significant figure. Your answer must be expressed using only % significant figure! (g) Using the information contained in Table 5.1 of the e-textbook and the answer you obtained in part (f), identify the material that probably makes up the safe and the material that likely makes up the floor. Explain your