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Cambridge AS & A Level Mathematics

4.5Energy, work and power

Energy, work and power in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic41 practice questions2 lessons

Learning objectives

What the syllabus expects you to be able to do.

  1. 4.5.1Calculate the work done by a constant force whose point of application moves, not necessarily along the force.
  2. 4.5.2Use the formulae for gravitational potential energy and kinetic energy.
  3. 4.5.3Relate the change in energy of a system to the work done by external forces and use conservation of energy where appropriate.
  4. 4.5.4Use power as the rate of doing work and P = Fv for a force along the motion.
  5. 4.5.5Solve problems such as the instantaneous acceleration of a car on a hill against resistance.

Lessons

  • Power: the rate of doing work

    45 min

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  • Work, energy and the work–energy principle

    55 min

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Sample question

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

Energy, work and power: sample question

1 mark

A water pump does 18 00018\,000 J of work in one minute. Find its average power.

Answer in W.

Turn Energy, work and power into a strength.

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