A-LevelMathematicsMechanics9709/43 · Oct/Nov 2020 · Q46 Marks
Two small smooth spheres A and B, of equal radii and of masses 4 kg and m kg respectively, lie on a smooth horizontal plane. Initially, sphere B is at rest and A is moving towards B with speed 6 m s¯¹. After the collision A moves with speed 1.5 m s¯¹ and B moves with speed 3 m s⁻¹. Find the two possible values of the loss of kinetic energy due to the collision.
- Find the two possible values of the loss of kinetic energy due to the collision.[6]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] For using conservation of momentum (either case)
- [1] 6x4=3m + 4 × 1.5 or 6x4=3m-4 × 1.5
- [1] m = 6 and m = 10
- [1] KE = ½ × m × v² FT 4.5m for KEB
- [1] Uses KE loss = KE before – KE after
- [1] Loss of KE = 40.5 J or 22.5 J
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