A-LevelMathematicsMechanics9709/42 · May/June 2025 · Q24 Marks
Two particles P and Q, of masses 0.2kg and 0.1kg respectively, are free to move in a straight line on a smooth horizontal plane. P is projected towards Q with speed 5ms⁻¹. At the same instant, Q is projected away from P with speed 2 ms⁻¹. When P collides with Q, the particles coalesce.
- Find the kinetic energy lost during the collision.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.
- [1] Attempt at conservation of momentum; correct number of terms but allow sign errors – use of mg scores M1A0.
- [1] v = 4
- [1] Allow sign errors only; correct number of terms; dimensionally correct.
- [1] [KE lost =] 0.3 J Allow -0.3. Use of mg in momentum scores max M1A0M1A0.
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