Calculating Power (GCSE Physics)

Calculating Power

The Power Equation

Different Formulae for Calculating Power

We can calculate a value for power using two different formulas. The first involves energy and the second involves work done.

1) Energy Transferred

Calculating Power
Calculating Power

Where:

  • Power, P in watts, W
  • Energy transferred, E, in Joules, J
  • Time, t, in seconds, s

Question: Marianne switches on a toaster for 50 seconds. During this time, the toaster uses 700J of electricity. Calculate the power of the toaster.

  1. Write out the appropriate equation.
    For this question, the correct equation is:

Calculating Power
Calculating Power
  • Substitute in the numbers.
    We know the values for energy and time taken, so we can simply substitute them in.

  • Calculating Power
    Calculating Power

    2) Work Done

    Calculating Power
    Calculating Power

    Where:

    • power, P, in watts, W
    • time, t, in seconds, s
    • work done, W, in joules, J

    Question: What is the power of a car engine that does 4500J of work in 1.5 minutes?

    1. Write out the appropriate equation.
      In this situation, the appropriate equation is:

    Calculating Power
    Calculating Power
  • Work out the value for time.
    In the question, we have been given a value for time in minutes. The equation requires us to give the time in seconds, so we need to convert

  • Calculating Power
    Calculating Power
  • Substitute in the numbers.
    Now that we have the correct values, we can put the numbers into our equation.

  • Calculating Power
    Calculating Power

    Question: An athlete of mass 60kg jumps 1.8 metres vertically. The work done in jumping this height was completed in 0.5s.

    Calculating Power
    Calculating Power

    Calculate the work done and power developed by the athlete.

    Calculating Power
    Calculating Power

    Question: Work, energy and power are closely linked. Below are four statements.

    1. Work done is equal to the useful energy output of a process.
    2. The higher the power of a system, the more efficient it is.
    3. A force of 10000N applied through a distance of 5 metres will lead to 50kJ of work being done.
    4. 1kW means that 1kJ of energy is produced every 1000 seconds.

    Which of the statements is / are true?

    Calculating Power
    Calculating Power

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