A-LevelMathematicsMechanics9709/41 · Oct/Nov 2020 · Q15 Marks
A particle B of mass 5 kg is at rest on a smooth horizontal table. A particle A of mass 2.5 kg moves on the table with a speed of 6 m s⁻¹ and collides directly with B. In the collision the two particles coalesce.
- (a)Find the speed of the combined particle after the collision.[2]
- (b)Find the loss of kinetic energy of the system due to the collision.[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [M1] Apply conservation of momentum, 3 terms implied
- [A1] v = 2 ms⁻¹
- [M1] Use KE = ½ mv² either before or after collision
- [A1 FT] Both correct FT on v
- [A1] Loss of KE = 30 J
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