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Mathematics (AS & A Level) · May / June 2025 · Paper 42 · Question 7

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A particle P of mass 3 kg is projected with a speed of ms 8 1 - up a line of greatest slope of a rough plane inclined at 30° to the horizontal. P is projected from a point A on the plane and comes to instantaneous rest at a point B on the plane. P then slides back down the plane. The coefficient of friction between P and the plane is 3 12 1 . Using an energy method throughout, find the speed of P at the instant it returns to A. [6]

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