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 using precise physics language.
Apply the relevant equations, diagrams or practical method to an exam-style situation.
Use the mini quizzes and practice answers to identify and correct a misconception.
Core learning content
Learn the idea before you practise it
Start with this short teaching sequence for Energy Calculations and Power. Read the model, use the visual, then test your recall before moving into examples and exam practice.
01
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.
02
Build the 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.
03
Use the right relationship
Choose a relationship because of the physical change in the question, not because it is familiar. 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). Keep the unit next to each value while you substitute.
04
What a strong answer does
Underline the changing quantity, write the equation, substitute with SI units, calculate and check whether the scale and unit make sense. Before writing, underline the command word and identify the information that matters. Keep a calculation as equation, substitution and answer with unit; keep an explanation as a linked chain using because, so or therefore. Finish by checking that the final sentence answers the exact context in the question and that the number, direction or conclusion agrees with the evidence given.
Read the diagram: identify the quantities, directions or stages before you write an answer.
Answer without looking back first. The feedback explains the model, so a wrong answer still helps you learn.
Mini quiz 1
Check the core idea
Mini quiz 2
Apply the model
Mini quiz 3
Use exam precision
Try it
Energy equation selector
Which physical change should decide the equation you use?
What to notice: the readout and written explanation remain available if you do not use the controls.
Worked examples
See the method being built
Cover the answer, attempt the method and then compare your physics language as well as the number.
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.
Choose E = mgh.
Substitute 2.0 × 9.8 × 4.0.
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.
Use Eₖ = ½mv².
Square the speed before multiplying.
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.
Use P = E ÷ t.
Substitute 12 000 ÷ 30.
Give watts.
Show the answer
P = 400 W.
Misconception clinic
Common wrong turns
Each of these is tempting because it sounds almost right. Replace it with the precise physics before you meet it in a question.
Using minutes with watts without converting to seconds.
Forgetting to square speed or extension.
Choosing an equation without linking it to the changing quantity.
Independent practice
Exam-style questions
Use the working space first. Reveal the guidance only after you have committed to an answer, then improve the exact part 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 answer and marking guidance
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.
[2 marks]
Show answer and marking guidance
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.
[2 marks]
Show answer and marking guidance
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.
[2 marks]
Show answer and marking guidance
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 answer and marking guidance
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 answer and marking guidance
Check mass is in kg and height is in m; g should be in N/kg.
Questions pupils ask
GCSE Physics FAQs
What is the key idea in Energy Calculations and Power?
Energy questions become easier when you name the system, track the stores that change and identify the transfer pathway. Then choose an equation only when the physical change requires it.
How should I practise Energy Calculations and Power?
Read the snapshot, attempt the worked examples without looking, complete the mini quizzes and then use the practice questions to check your wording and method.
Next step
Keep your revision moving
Physics sticks when you move between explanation, retrieval and application.