A-LevelMathematicsMechanics9709/42 · Oct/Nov 2018 · Q24 Marks
A block of mass 5 kg is being pulled by a rope up a rough plane inclined at 6° to the horizontal. The rope is parallel to a line of greatest slope of the plane and the block is moving at constant speed. The coefficient of friction between the block and the plane is 0.3. Find the tension in the rope.
- A block of mass 5 kg is being pulled by a rope up a rough plane inclined at 6° to the horizontal. The rope is parallel to a line of greatest slope of the plane and the block is moving at constant speed. The coefficient of friction between the block and the plane is 0.3. Find the tension in the rope.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [B1] R = 5g cos 6
- [M1] [F = 0.3 × 5g cos 6] Use of F = μR
- [M1] [T = 5g sin 6 + F] For resolving along the plane
- [A1] T = 20.1 N (20.14425...)
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