A-LevelMathematicsMechanics9709/42 · Feb/Mar 2018 · Q46 Marks

A particle of mass 12 kg is on a rough plane inclined at an angle of 25° to the horizontal. A force of magnitude P N acts on the particle. This force is horizontal and the particle is on the point of moving up a line of greatest slope of the plane. The coefficient of friction between the particle and the plane is 0.8.

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2018). The mark or mark type is shown in brackets.

[M1] Attempt resolving of forces in any one direction, parallel to, perpendicular to plane or horizontally, vertically
[A1] Any one correct equation (e.g., R = 12g cos 25 + P sin 25)
[A1] Any second correct equation (e.g., P cos 25 = F + 12g sin 25)
[M1] Use of F = μR
[M1] Complete method to find P from 2 equations (3 terms each)
[A1] P = 242

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Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source: A-Level Mathematics, Feb/Mar 2018 Paper 4 Variant 2, question 4.

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