CAIE A Level Mathematics 9709

Newton's laws of motion questions

Exam-style questions on Newton's laws of motion, 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 marksFoundationA body of mass 9 kg rests on a smooth horizontal surface. A horizontal force of 18 N is applied to the body. Find the acceleration of the body.
  2. 2 marksFoundationA force of 12 N acts on a body of mass 2 kg on a smooth horizontal surface. What is the acceleration of the body in m/s^2?
  3. 3 marksStandardA body of mass 6 kg is raised vertically by a string with an upward acceleration of 2 m/s^2. Find the tension in the string. (Take g = 10 m/s^2.)
  4. 3 marksStandardA block of mass 2 kg is pulled along a rough horizontal surface by a horizontal force of 30 N. The frictional force opposing the motion is 20 N.
  5. 3 marksStandardA body of mass 3 kg is raised vertically by a string. The upward acceleration of the body is 1 m/s². (Take g = 10 m/s^2.)
  6. 4 marksChallengeA body of mass 2 kg is pulled up a rough plane inclined at 30° to the horizontal by a force of 40 N acting parallel to the plane. The friction force acting on the body is 10 N. Find the acceleration of the body, in…
  7. 4 marksChallengeTwo particles of mass 3 kg and 2 kg are connected by a light inextensible string that passes over a smooth pulley. The system is released from rest with both particles hanging vertically. Find the magnitude of the…
  8. 4 marksChallengeTwo particles of masses 3 kg and 2 kg are connected by a light inextensible string that passes over a smooth pulley. The particles are released from rest. Find the acceleration of the system. (Take g = 10 m/s^2)