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Mathematics (AS & A Level) · Feb / March 2024 · Paper 42 · Question 3

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A crate of mass 600 kg is being pulled up a line of greatest slope of a rough plane at a constant speed of 2 m s 1 - by a rope attached to a winch. The plane is inclined at an angle of 30° to the horizontal and the rope is parallel to the plane. The winch is working at a constant rate of 8 kW. Find the coefficient of friction between the crate and the plane. [5]

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