A-LevelMathematicsMechanics9709/43 · Oct/Nov 2022 · Q24 Marks
A box of mass 5kg is pulled at a constant speed of 1.8 ms¯¹ for 15s 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 change in gravitational potential energy of the box.[2]
- (b)Find the work done by the pulling force.[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [M1] PE = 5g×15×1.8sin20 Attempt to find PE gain.
- [A1] PE = 462 J From 461.727...
- [M1] WD = 5g×15×1.8sin20+40×15×1.8 or WD = (5gsin20+40)×15×1.8 Uses WD by pulling force = PE gain + WD against friction or WD = Fs.
- [A1 FT] WD = 1540 J From 1541.727... FT ‘1080 + PE from (a)'.
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