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8. A 30 kg box is placed on a 37-degree incline. The ramp is rough; the coefficient of friction between the box and the

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8. A 30 kg box is placed on a 37-degree incline. The ramp is rough; the coefficient of friction between the box and the ramp is k = 0.2. The box is released from the top and slides 8 meters down the ramp. (a) Create a free-body diagram for the box on the ramp. Label the forces in the direction of motion (up and down the ramp) and the forces in the non-motion direction (in and out of the ramp). (b) Write an equation for the forces in the non-motion direction. Solve for FN. (c) Calculate the friction force and add it to your free-body diagram. (d) Write an equation for the forces in the direction of motion. Solve for the acceleration of the box. (e) How fast is the box moving when it has moved 8 meters down the ramp?

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