Mathematics (AS & A Level) · Oct / Nov 2021 · Paper 42 · Question 7

! Q P m kg 2m kg 6.4 m Particles P and Q have masses m kg and 2m kg respectively. The particles are initially held at rest 6.4 m apart on the same line of greatest slope of a rough plane inclined at an angle ! to the horizontal, where sin ! = 0.8 (see diagram). Particle P is released from rest and slides down the line of greatest slope. Simultaneously, particle Q is projected up the same line of greatest slope at a speed of 10 m s−1. The coefficient of friction between each particle and the plane is 0.6.

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