Momentum — AS & A Level Mathematics (9709) questions by topic
Applying conservation of momentum to two particles colliding on a smooth horizontal plane, finding an unknown speed after a collision given the masses involved, and analysing a hammerhead driving a nail into wood are typical of the 9 momentum questions from 2023 to 2025, worth 3 to 11 marks.
Find, calculate and show are the only three command words tracked here, each built on setting up a momentum-conservation equation correctly before solving for an unknown. Because a sign error on direction is the most common way to lose marks in a collision problem, submit your momentum equations for instant marking to catch a wrongly signed velocity the instant it is written, rather than after the whole collision equation fails to balance.
May–June 2025, Paper 42
Two particles P and Q, of masses 0.2 kg and 0.1 kg respectively, are free to move in a straight line on a smooth horizontal plane. P is projected towards Q with speed 5 m s^-1. At…
Answer this question and get it marked →May–June 2025, Paper 43
Two particles P and Q, of masses 0.1 kg and 0.3 kg respectively, are at rest on a smooth horizontal plane. P is projected directly towards Q with speed 4u m s^-1. At the same…
Answer this question and get it marked →May–June 2025, Paper 45
A machine for driving a nail into a block of wood causes a hammerhead to drop vertically onto the top of the nail. The mass of the hammerhead is 1.5 kg and the mass of the nail is…
Answer this question and get it marked →May–June 2024, Paper 42
Three particles A, B and C of masses 5 kg, 1 kg and 2 kg respectively lie at rest in that order on a straight smooth horizontal track XYZ. Initially A is at X, B is at Y and C is…
Answer this question and get it marked →May–June 2024, Paper 43
Two particles P and Q of masses 0.2 kg and 0.5 kg respectively are at rest on a smooth horizontal plane. Particle P is projected with a speed 6 m s⁻¹ directly towards Q. After P…
Answer this question and get it marked →May–June 2023, Paper 41
Two particles P and Q, of masses m kg and 0.3 kg respectively, are at rest on a smooth horizontal plane. P is projected at a speed of 5 m s⁻¹ directly towards Q. After P and Q…
Answer this question and get it marked →May–June 2023, Paper 42
Two particles A and B, of masses 3.2 kg and 2.4 kg respectively, lie on a smooth horizontal table. A moves towards B with a speed of v m s^-1 and collides with B, which is moving…
Answer this question and get it marked →May–June 2023, Paper 43
Two particles P and Q, of masses 0.1 kg and 0.4 kg respectively, are free to move on a smooth horizontal plane. Particle P is projected with speed 4 m s⁻¹ towards Q which is…
Answer this question and get it marked →October–November 2023, Paper 43
A machine for driving a nail into a block of wood causes a hammerhead to drop vertically onto the top of a nail. The mass of the hammerhead is 1.2 kg and the mass of the nail is…
Answer this question and get it marked →Other AS & A Level Mathematics topics
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