Mathematics (AS & A Level) · Oct / Nov 2025 · Paper 41 · Question 4

sin–1 0.6 3 kg m kg B A 0.75 m Two particles, A and B, of masses m kg and 3 kg respectively, are connected by a light inextensible string. Particle B is on a fixed plane which is at an angle of . sin 0 6 1 - to the horizontal ground. The string passes over a fixed smooth pulley at the top of the plane. Particle A hangs vertically below the pulley and is 0.75 m above the ground (see diagram). The system is released from rest. In the subsequent motion B moves up a line of greatest slope of the plane and does not reach the pulley. As B moves up the plane there is a constant resistance to its motion of magnitude 3 10 N. The speed of A immediately before it hits the ground is . m 2 s 1 - Use an energy method to find the value of m. [6]

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