A-LevelMathematicsMechanics9709/41 · May/June 2017 · Q26 Marks
A particle of mass 0.8 kg is projected with a speed of 12 m s⁻¹ up a line of greatest slope of a rough plane inclined at an angle of 10° to the horizontal. The coefficient of friction between the particle and the plane is 0.4.
- (i)Find the acceleration of the particle.[4]
- (ii)Find the distance the particle moves up the plane before coming to rest.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- R = 0.8g cos 10 [= 7.88]
- F = 0.4 × 8 cos 10 [= 3.15]
- -8 sin 10 – 3.2 cos 10 = 0.8a
- a = -5.68 ms⁻²
- 0 = 12² – 2 × 5.68 × s
- s = 144/(2 × 5.68) = 12.7 m
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