A-LevelMathematicsMechanics9709/43 · Oct/Nov 2020 · Q24 Marks
A box of mass 5 kg is pulled at a constant speed a distance of 15 m up a rough plane inclined at an angle of 20° to the horizontal. The box moves along a line of greatest slope against a frictional force of 40 N. The force pulling the box is parallel to the line of greatest slope.
- (a)Find the work done against friction.[1]
- (b)Find the change in gravitational potential energy of the box.[2]
- (c)Find the work done by the pulling force.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] WD = 40 × 15 = 600 J
- [1] Attempt PE gain
- [1] 257 J (256.5151... J)
- [1] FT 600 + 'PE'(> 0) from 2(b)
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