Syllabus Edition

First teaching 2023

First exams 2025

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Power (CIE A Level Physics)

Revision Note

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Leander

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Leander

Expertise

Physics

Defining Power

  • The power of a machine is the rate at which it transfers energy
  • Since work done is equal to the energy transferred, power can also be defined as the rate of doing work or the work done per unit time

P = Et = Wt{"language":"en","fontFamily":"Times New Roman","fontSize":"18","autoformat":true}

  • Where:
    • P = power in watts (W)
    • E = energy in joules (J)
    • W = work done in joules (J) or newton metres (N m)
    • t = time in seconds (s)

 

  • You may be familiar with labels on lightbulbs which indicate their power such as 60 W or 100 W
  • These power ratings tell you about energy transferred electrically rather than mechanically and so will require a different equation 

Worked example

Solving Problems Involving Power

A car engine exerts a force of 500 N for 1.0 km over 200 s.

What is the average power developed by the engine?

Answer: 

Step 1: List the known quantities and convert to SI units

  • Force, F = 500 N
  • Distance, d = 1.0×103 m
  • Time, t = 200 s

Step 2: Substitute the work done equation into the power equation

P space equals fraction numerator space W over denominator t end fraction

W space equals space F d

P space equals fraction numerator space F d over denominator t end fraction

Step 3: Substitute the known values to calculate

P space equals space fraction numerator 500 space cross times space open parentheses 1.0 cross times 10 cubed close parentheses over denominator 200 end fraction

P space equals space 2500 space straight W

Exam Tip

Think of power as “energy per second”. Thinking of it this way will help you to remember the relationship between power and energy: “Watt is the unit of power?”

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Leander

Author: Leander

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.