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Cambridge AS & A Level Mathematics

4.4Newton's laws of motion

Newton's laws of motion in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic44 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 4.4.1Apply Newton's laws to the linear motion of a particle of constant mass under constant forces, including friction, tension and thrust.
  2. 4.4.2Use the relationship between mass and weight.
  3. 4.4.3Solve problems on motion vertically or on an inclined plane with constant acceleration.
  4. 4.4.4Solve problems on connected particles.

Lessons

  • Connected particles: strings, pulleys and tow-bars

    55 min

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  • Newton's laws of motion: F = ma, weight and inclined planes

    55 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Newton's laws of motion: sample question

1 mark

Particles of mass 77 kg and 33 kg hang at the ends of a light inextensible string passing over a smooth fixed pulley, and are released from rest. Taking g=10g = 10 m s−2^{-2}, find the magnitude of their acceleration.

Answer in m/s².

Turn Newton's laws of motion into a strength.

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