GCSE Physics resources

AQA GCSE Energy

Energy Calculations and Power

Choose an equation from the physical change, convert every quantity to SI units and show the substitution.

AQA 8463AQA 8464 GCSE PhysicsCombined Science: Trilogy FoundationHigher

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The revision snapshot

Match the equation to the physical change: speed for kinetic energy, height for gravitational potential energy, extension for elastic energy, force and distance for work done, and time for power. Convert units before substitution.

By the end, you should be able to:

  • Explain choosing the right energy equation.
  • Apply the energy model, evidence or method to an unfamiliar exam context.
  • Recognise and correct this wrong turn: Using minutes with watts without converting to seconds.

Before you revise

Diagnostic question

Choose an answer from memory. Your result tells you what to watch for in the guide.

Which equation is used for gravitational potential energy?

Core revision guide

Learn the model, then use it

Energy Calculations and Power questions become manageable when the central model, evidence and exam method are kept together. Read the explanation, test the misconception and then apply the idea without looking back.

Choosing the right energy equation

Match the equation to the physical change: speed for kinetic energy, height for gravitational potential energy, extension for elastic energy, force and distance for work done, and time for power. Convert units before substitution.

Build the physics picture

The words in the question choose the model. Height points to gravitational potential energy, speed to kinetic energy, extension to elastic potential energy and time to power. Write quantities in SI units before putting numbers into an equation.

Relationships used in this guide

Kinetic energy: Eₖ = ½mv² (J, kg, m/s). Gravitational potential energy: Eₚ = mgh (J, kg, N/kg, m). Elastic potential energy: Eₑ = ½ke² (J, N/m, m). Power: P = E ÷ t (W, J, s). Choose each relationship from the physical change described, convert quantities into compatible units and keep the unit beside the final answer.

Two motors lift identical 10 kilogram loads through 2.0 metres in different times, using 10 newtons per kilogram, so they transfer equal energy at different powers.
Both lifts transfer 200 J; the 2.0 s lift has twice the power of the 4.0 s lift.Open the full-size exam diagram
Kinetic energyEₖ = ½mv²J, kg, m/s
Gravitational potential energyEₚ = mghJ, kg, N/kg, m
Elastic potential energyEₑ = ½ke²J, N/m, m
PowerP = E ÷ tW, J, s

Misconception clinic

Replace the tempting answer

Read each belief, say what is wrong with it, then compare your correction.

Tempting idea: Using minutes with watts without converting to seconds.

Use instead: Match the equation to the physical change: speed for kinetic energy, height for gravitational potential energy, extension for elastic energy, force and distance for work done, and time for power. Convert units before substitution.

Tempting idea: Forgetting to square speed or extension.

Use instead: The words in the question choose the model. Height points to gravitational potential energy, speed to kinetic energy, extension to elastic potential energy and time to power. Write quantities in SI units before putting numbers into an equation.

Tempting idea: Choosing an equation without linking it to the changing quantity.

Use instead: Underline the changing quantity, write the equation, substitute with SI units, calculate and check whether the scale and unit make sense.

Retrieval practice

Quick checks

1. Which quantity must be in metres in E = mgh?

2. A 100 W device transfers energy for 20 s. Which calculation is correct?

3. Power is best defined as…

4. Which physical change uses elastic potential energy?

5. Why show a substitution line?

Worked examples

See the method being built

These examples expose the difference between a secure choosing the right energy equation method and the common error “Using minutes with watts without converting to seconds.”.

Example 1 · Gravitational potential energy

A 2.0 kg box is raised 4.0 m. Take g = 9.8 N/kg. Calculate the energy gained.

  1. Choose E = mgh.
  2. Substitute 2.0 × 9.8 × 4.0.
  3. Give joules.
Show the answer

E = 78.4 J, so the box gains 78 J to two significant figures.

Example 2 · Kinetic energy

A 0.80 kg football moves at 5.0 m/s. Calculate its kinetic energy.

  1. Use Eₖ = ½mv².
  2. Square the speed before multiplying.
  3. Keep mass in kg.
Show the answer

Eₖ = 0.5 × 0.80 × 5.0² = 10 J.

Example 3 · Power

A hoist transfers 12 000 J in 30 s. Calculate its power.

  1. Use P = E ÷ t.
  2. Substitute 12 000 ÷ 30.
  3. Give watts.
Show the answer

P = 400 W.

Exam precision

Exam technique: Choosing the right energy equation

Do this: Underline the changing quantity, write the equation, substitute with SI units, calculate and check whether the scale and unit make sense.

Independent practice

Exam-style questions

Write an answer before opening the marking guidance. Then edit the exact phrase or step that would gain the next mark.

1. Calculate the kinetic energy of a 1.5 kg trolley travelling at 4.0 m/s.

[3 marks]
Show marking guidance and model answer

Marking guidance: Award one mark for the correct relationship, one for a valid substitution and one for the final answer with its unit.

Model answer: Eₖ = ½mv² = 0.5 × 1.5 × 4.0² = 12 J.

2. A 0.20 kg mass is lifted 3.0 m. Take g = 10 N/kg. Calculate its GPE gain.

[3 marks]
Show marking guidance and model answer

Marking guidance: Award one mark for the correct relationship, one for a valid substitution and one for the final answer with its unit.

Model answer: E = mgh = 0.20 × 10 × 3.0 = 6.0 J.

3. A spring has k = 200 N/m and extension 0.10 m. Calculate its elastic potential energy.

[3 marks]
Show marking guidance and model answer

Marking guidance: Award one mark for the correct relationship, one for a valid substitution and one for the final answer with its unit.

Model answer: Eₑ = ½ke² = 0.5 × 200 × 0.10² = 1.0 J.

4. A 60 W lamp is switched on for 5.0 minutes. Calculate the energy transferred.

[3 marks]
Show marking guidance and model answer

Marking guidance: Award one mark for the correct relationship, one for a valid substitution and one for the final answer with its unit.

Model answer: Convert 5.0 min to 300 s. E = Pt = 60 × 300 = 18 000 J.

5. Explain why a 1000 W kettle heats water faster than a 500 W kettle, assuming the same efficiency.

[3 marks]
Show marking guidance and model answer

Marking guidance: Award up to 3 marks for distinct physics points joined into a clear cause-and-effect chain.

Model answer: It transfers energy to the water at a greater rate.

6. State one unit check you should make before using E = mgh.

[1 mark]
Show marking guidance and model answer

Marking guidance: Award one mark for the precise statement shown in the model answer.

Model answer: Check mass is in kg and height is in m; g should be in N/kg.

Questions pupils ask

Energy Calculations and Power FAQs

What is the main idea in Energy Calculations and Power?

Match the equation to the physical change: speed for kinetic energy, height for gravitational potential energy, extension for elastic energy, force and distance for work done, and time for power. Convert units before substitution.

What mistake should I avoid in Energy Calculations and Power?

Using minutes with watts without converting to seconds. The words in the question choose the model. Height points to gravitational potential energy, speed to kinetic energy, extension to elastic potential energy and time to power. Write quantities in SI units before putting numbers into an equation.

Useful next steps

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