(8 points] Two workers are sliding a crate of mass m across a rough floor at a constant speed. One worker applies a horizontal pushing force to the crate of magnitude F while the second worker pulls the crate with a rope held at an angle 0 above the horizontal, as shown in the diagram below. The coefficient of static friction between the crate and the door is As and the coefficient of kinetic friction between the crate and the floor is /k. Rope rope push m 0.5 /3 rough surface (a) Draw the free body diagram for the crate. Label all forces with appropriate variables (no numbers) and include a coordinate system. Do NOT draw your free body diagram on the provided picture; draw your free body diagram in the space next to the picture above or in the space provided below. b) Write, but do not solve, the equations of motion _ Fr = max and _ Fy = may for the crate. Variables only - no numbers. Your equations must be consistent with your free body diagram to receive full credit. C ) Using your equations from (b), determine an expression for the magnitude of the tension force in the rope. Your answer must be expressed using some combination of the following variables: m, g, 0, Us, Uk, F. Your answer may or may not include all of the variables. Show all steps of all work for full credit