A-LevelMathematicsMechanics9709/43 · Oct/Nov 2017 · Q36 Marks
A particle is released from rest and slides down a line of greatest slope of a rough plane which is inclined at 25° 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 travelled by the particle in the first 3 s after it is released.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- R = mg cos 25 B1
- [F = 0.4mg cos 25] M1 Using F = μR
- [mg sin 25 – 0.4mg cos 25 = ma] M1 Use of Newton's Second Law
- a = 0.601 ms⁻² A1
- [s = ½ × 0.601 × 3²] M1 Use of s = ut + ½at²
- Distance = 2.70 m A1 FT FT 4.5 × a from (i)
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