(5%) Problem 6: At a post office, a parcel that is an m kg box slides down a ramp inclined at an angle 0 with the horizontal, as shown. The coefficient of kinetic friction between the box and the ramp is up, and the coefficient of static friction for the same is us. Notice that the coordinate axes have been chosen with the x axis directed up the incline, as shown. m 13% Part (a) Please use the interactive area below to draw a free body diagram for the block. Use F, for the force of static friction and Fi for the force of kinetic friction if they are needed for your free body diagram. Grade Summary Add Force Deductions 0% Potential 100% y Reset All Submissions Attempts remaining: 15 (0% per attempt) T detailed view F total,x : e F total,y :13% Part (b) Input an expression for the net force in the x direction consistent with the coordinate axes on the diagram. Express your answer in terms of the mass of the box, m, the acceleration due to gravity, g, the angle of the incline, 0, the magnitude of the normal vector FN, and appropriate coefficients of friction. The coefficient of kinetic friction between the box and the ramp is up, and the coefficient of static friction for the same is us. & 13% Part (c) Input an expression for the net force in the y direction consistent with the coordinate axes on the diagram. Express your answer in terms of the mass of the box, m, the acceleration due to gravity, g, the angle of the incline, 0, and the magnitude of the normal vector FN. A 13% Part (d) Input an expression for the magnitude of the normal force. Express your answer in terms of the mass of the box, m, the acceleration due to gravity, g, and the angle of the incline, 0. A 13% Part (e) Input an expression for the acceleration of the box in the x direction consistent with the coordinate axes on the diagram. Express your answer in terms of the mass of the box, m, the acceleration due to gravity, g, the angle of the incline, 0, and appropriate coefficients of friction. The coefficient of kinetic friction between the box and the ramp is up, and the coefficient of static friction for the same is us. A 13% Part (f) Enter a numeric answer for the magnitude of the acceleration in meters per squared seconds when the angle of the incline is 320 and the coefficient of kinetic friction is 0.035. A 13% Part (g) Using the numbers from the previous step, give a numeric answer for the time in seconds that elapse when the package, initially at rest, travels a distance of 4.75 m down the ramp. A 13% Part (h) Using the numbers from the previous steps, give a numeric answer for the speed of the package at the moment it has traveled a distance of 4.75 m down the ramp