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CAIE A Level Mathematics 9709

Momentum questions

Exam-style questions on Momentum, ordered from foundation to challenge. Pick one, write your answer the way you would in the exam, and it comes back marked against the mark scheme, point by point.

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Written by Markquill to follow the Cambridge International syllabus. Markquill is independent and is not affiliated with or endorsed by Cambridge International.

  1. 2 marksFoundationTwo bodies of masses 2 kg and 6 kg move in the same direction with velocities 5 m/s and 7 m/s respectively. They collide and coalesce. Find the total momentum of the combined body immediately after the collision.
  2. 2 marksFoundationTwo objects of masses 2 kg and 3 kg move in the same direction with velocities 5 m/s and 3 m/s respectively. They collide and coalesce. What is the total momentum of the combined object immediately after the impact?
  3. 2 marksFoundationA body of mass 3 kg moves with velocity 8 m/s towards a stationary body of mass 1 kg. The two bodies collide and stick together. Find the common velocity after the collision.
  4. 1 markFoundationA body of mass 2 kg moves with velocity 4 m/s. Calculate its linear momentum.
  5. 1 markFoundationA ball has mass 1 kg and moves with velocity 6 m/s. Calculate its momentum.
  6. 3 marksStandardA particle of mass 2 kg moves with velocity 2 m/s. A second particle of mass 4 kg moves in the same direction with velocity 5 m/s. The particles collide and stick together. Find the common velocity v of the combined…
  7. 3 marksStandardTwo bodies of mass 2 kg and 4 kg are moving in the same direction with speeds 8 m/s and 5 m/s respectively. They collide and coalesce. Find the common velocity of the combined mass after the collision.
  8. 3 marksStandardTwo objects A and B of masses 2 kg and 2 kg are moving directly towards each other. Object A has velocity 6 m/s to the right, and object B has velocity 4 m/s to the left. They collide and stick together. Find the…
  9. 4 marksStandardTwo objects A and B of masses 5 kg and 3 kg respectively move directly towards each other on a smooth horizontal surface. Object A has initial velocity 4 m/s to the right and object B has initial velocity 3 m/s to the…
  10. 4 marksStandardTwo particles A and B of masses 5 kg and 3 kg respectively move directly towards each other on a smooth horizontal surface. Initially, A is moving to the right with speed 6 m/s and B is moving to the left with speed 2…
  11. 4 marksChallengeTwo spheres A and B of masses 2 kg and 1 kg respectively move along the same straight line on a smooth horizontal surface. The initial velocity of B is 3 m/s. After they collide directly, A has velocity 3 m/s and B has…
  12. 4 marksChallengeTwo bodies A and B collide directly. Body A has mass 3 kg and initial velocity u m/s (unknown). Body B has mass 2 kg and initial velocity 2 m/s. After the collision, A moves with velocity 2 m/s and B moves with…