February/March 2026 Paper 42

2026 · 7 questions · 14 parts · 50 marks

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Context for question 5
An inclined plane at 30 degrees to the horizontal (line of greatest slope drawn from a dashed horizontal baseline). Particle P (0.3 kg) sits lower on the slope and particle Q (0.2 kg) sits further up the slope, joined by a taut string along the slope; a 12 N force arrow acts on Q, pointing further up the slope in the same direction the particles are pulled.
A particle of mass is connected by a light inextensible string to a particle of mass . The string joining the two particles is taut and is parallel to a line of greatest slope of a rough plane which is inclined at an angle of to the horizontal. A constant force of magnitude acts on and pulls the particles up the plane. The force acts parallel to a line of greatest slope of the plane (see diagram). The coefficient of friction between each of the particles and the plane is .
5(a)Newtons Laws Connected ParticlesHard6 marks
Find the magnitude of the acceleration of the particles and the tension in the string.
Working
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Acceleration and tension
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5(b)Newtons Laws Connected ParticlesMedium3 marks
At the instant when the speed of the particles is , the string breaks. Find the time it takes from the instant the string breaks until comes to instantaneous rest.
Working
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Time