A-LevelMathematicsMechanics9709/42 · May/June 2025 · Q14 Marks
A crate is being pushed in a straight line along a horizontal surface by a force of magnitude 25 N inclined at 20° above the horizontal. The crate moves a distance of 12m in 8 seconds with constant speed.
- (a)Find the constant speed of the crate.[1]
- (b)Find the work done by the 25 N force.[2]
- (c)Find the power at which the 25 N force is working.[1]
Mark scheme
Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.
- [1] (a) 1.5 m s-1 OE e.g. 3/2, 12/8
- [1] (b) For 25 cos 20×12 or 25 sin 20×12 or 25 cos 70×12 or 25 sin 70×12.
- [1] (b) 281.9077...
- [1] (c) FT their (b) divided by 8 or FT 25 cos 20×their(a) . Allow 35.3 (from 282/8). Do not accept 35.2 kW.
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