A-LevelMathematicsMechanics9709/42 · Feb/Mar 2020 · Q36 Marks
The diagram shows the vertical cross-section of a surface. A, B and C are three points on the cross-section. The level of B is h m above the level of A. The level of C is 0.5 m below the level of A. A particle of mass 0.2 kg is projected up the slope from A with initial speed 5 ms⁻¹. The particle remains in contact with the surface as it travels from A to C. [Figure 3.1]
- (a)Given that the particle reaches B with a speed of 3 ms⁻¹ and that there is no resistance force, find h.[3]
- (b)It is given instead that there is a resistance force and that the particle does 3.1 J of work against the resistance force as it travels from A to C. Find the speed of the particle when it reaches C.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Feb/Mar 2020). The mark or mark type is shown in brackets.
- [B1] Initial KE = ½ × 0.2 × 5² or Final KE = ½ × 0.2 × 3²
- [M1] Use conservation of energy
- [A1]
- [M1] Apply work-energy equation from A to C
- [A1] Correct work-energy equation
- [A1]
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