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A wooden box with a mass of 10.0kg rests on a ramp that is inclined at an angle of 25 degrees to the horizontal. A rope attatched to the box runs parallel to the ramp and then passes over a frictionless pulley. A bucket with a mass of m hangs from the end of the rope.The coefficient of static friction between the ramp and the box is 0.50. The coefficient of kinetic friction between the ramp and the box is 0.35.

1)Supposse the box remains atrest relative to the ramp. What is the maximum magnitude of the friction force exerted on the box by the ramp?

2)Supposse the bucket has a mass of 2.0kg. What is the friction force exerted on the box by the ramp? Does the box remain at rest relative to the ramp?

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