A-LevelMathematicsMechanics9709/42 · May/June 2019 · Q35 Marks
A particle of mass 13 kg is on a rough plane inclined at an angle of θ to the horizontal, where tan θ = 5/12. The coefficient of friction between the particle and the plane is 0.3. A force of magnitude T N, acting parallel to a line of greatest slope, moves the particle a distance of 2.5 m up the plane at a constant speed. Find the work done by this force.
- A particle of mass 13 kg is on a rough plane inclined at an angle of θ to the horizontal, where tan θ = 5/12. The coefficient of friction between the particle and the plane is 0.3. A force of magnitude T N, acting parallel to a line of greatest slope, moves the particle a distance of 2.5 m up the plane at a constant speed. Find the work done by this force.[5]
Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [B1] Resolve perpendicular to the plane
- [M1] Using F = μR
- [M1] Apply Newton's second law parallel to the plane with a = 0
- [M1] WD = T x d
- [A1] WD = 215 J
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