A-LevelMathematicsMechanics9709/42 · Feb/Mar 2017 · Q14 Marks
A particle of mass 0.4 kg is projected with a speed of 12 m s⁻¹ up a line of greatest slope of a smooth plane inclined at 30° to the horizontal.
- (i)Find the initial kinetic energy of the particle.[1]
- (ii)Use an energy method to find the distance the particle moves up the plane before coming to instantaneous rest.[3]
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2017). The mark or mark type is shown in brackets.
- [B1] KE = 1/2 × 0.4 × 12^2 = 28.8 J
- [B1] PE gain = 0.4gh [= 4d sin 30]
- [M1] Using KE loss = PE gain
- [A1] h = 7.2 h = d sin 30 d = 14.4 m
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