May/June 2026 Paper 41

2026 · 6 questions · 12 parts · 50 marks

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Context for question 5
A particle of mass 3.6 kg on a rough plane inclined at 30 degrees to the horizontal, held by a horizontal force of magnitude 24 root 3 newtons acting towards the slope, with the particle on the point of moving up the plane.
A particle of mass is placed on a rough plane inclined at an angle of to the horizontal. The particle is held at rest on the plane by a horizontal force of magnitude . The force acts in a vertical plane containing a line of greatest slope of the inclined plane (see diagram). The particle is on the point of moving up the plane.
5(a)Forces EquilibriumHard5 marks
Show that the coefficient of friction between the particle and the plane is .
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5(b)Newtons Laws Connected ParticlesHard5 marks
The force of magnitude is now removed, and the particle moves from rest down the plane. Find the speed of the particle after it has travelled down the plane.
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Speed