G3 Physics and O-Level Work, Energy & Power Hub

G3 Physics and O-Level Work, Energy and Power hub: work done, kinetic and potential energy, conservation, power, efficiency and energy resources.

  • SEC G3 Physics 2027
Learning goals
  • Recognise kinetic, potential, nuclear and internal energy stores
  • Describe mechanical energy transfer by a force acting over a distance
  • Describe electrical energy transfer by an electric current
  • Describe energy transfer by heating due to a temperature difference
  • Describe energy transfer by electromagnetic and mechanical waves
  • Recall and apply Ek = ½mv² in new situations
  • Recall and apply Ep = mgh near the Earth's surface in new situations
  • State and apply the principle of conservation of energy
  • Recall and apply work done = force × distance moved in the force direction
  • Recall and apply power = energy transfer / time taken
  • Calculate efficiency as useful energy output / total energy input
  • Evaluate prescribed electricity-generation resources by efficiency, cost, reliability and environmental impact

This hub covers energy stores and transfer pathways, conservation, kinetic and gravitational potential energy, work, power, efficiency and resources used to generate electricity.

Start here

Before you begin:

Follow this order:

  1. Energy stores, transfers and conservation
  2. KE, GPE and conservation calculations
  3. Work done
  4. Power and efficiency
  5. Energy resources

What you will learn

The five lessons build the Energy topic in this order:

  • identify energy stores and the four transfer pathways: mechanically, electrically, by heating and by waves;
  • calculate kinetic and gravitational potential energy and apply conservation of energy;
  • calculate work, power and efficiency; and
  • compare the named renewable and non-renewable resources for electricity generation using efficiency, cost, reliability and environmental impact.

Lessons

  • Energy stores and transfers

    Stores, four transfer pathways and conservation of energy.

  • KE, GPE and conservation calculations

    Apply ½mv², mgΔh and energy accounting to unfamiliar situations.

  • Work done

    Calculate W = Fd and identify when a force transfers no energy.

  • Power and efficiency

    Calculate rates of energy transfer and useful output ratios.

  • Energy resources

    Compare resources using efficiency, cost, reliability and environmental impact.

Revision

Quick Reference
QuantityFormulaUnit
Work doneW = Fd (distance moved in the force’s direction)joule (J)
Kinetic EnergyEₖ = (1/2)mv²Joule (J)
Gravitational Potential EnergyΔ Eₚ = mgΔ hJoule (J)
PowerP = W/t = E/tWatt (W)
Efficiency(Useful Output)/(Total Input) × 100%% (no unit)

Units and conversions

  • 1 J = 1 N m and 1 W = 1 J s⁻¹.
  • Near Earth, g ≈ 10 N kg⁻¹ (also 10 m s⁻²).
  • In practical-electricity questions, 1 kWh = 3.6 × 10⁶ J.
Definitions and method to recall
  • Principle of Conservation of Energy: Energy cannot be created or destroyed. It is transferred between stores, so total energy remains constant.
  • Work Done: Product of force and the distance moved in the direction of the force.
  • Power: The rate of doing work (or rate of energy transfer).
  • Efficiency: The ratio of useful energy output to total energy input.
  • Gravitational potential energy change: use vertical height change (Δ h), not path length.

Energy method template

  1. List the initial and final energy stores.
  2. State: “Energy input = useful output + energy dissipated” where relevant.
  3. Use the correct formula(s) and consistent SI units.
  4. If efficiency is involved, write it as a ratio first, then convert to % if asked.
Visual snapshots

These are schematic. Use them to remember key relationships quickly.

Kinetic energy depends on speed squared

A curved (quadratic) kinetic energy–speed relationship: doubling speed quadruples kinetic energy.

Scroll across the graph to read all labels.

A curved (quadratic) kinetic energy–speed relationship: doubling speed quadruples kinetic energy.A curved (quadratic) kinetic energy–speed relationship: doubling speed quadruples kinetic energy.
If speed doubles, kinetic energy becomes 4 times (because Eₖ ∝ v²).
Open full-size graph
View figure data
Values for Kinetic energy depends on speed squared
Speed (m s⁻¹)E_k vs v
00
24
416
636
864
10100

Don’t assume the relationship is linear just because the axes are labelled; use the formula (this chart is schematic).

Efficiency: useful and dissipated energyExample energy split showing total input, useful output and energy dissipated to the surroundings; efficiency is the useful fraction of the input.Efficiency: useful and dissipated energyEnergy flowEnergy (J)
Efficiency = useful output / total input. Here: 60/100 = 60%.
Data table
Energy flowExample
Total input100
Useful output60
Dissipated to surroundings40
Top exam traps
  1. Work direction: Distance d must be in the same direction as the force F. If you lift a bag while walking horizontally, the lifting force does no work on the bag’s horizontal motion.
  2. Power vs Energy: A machine with high power does the same work faster, not more work.
  3. Efficiency Limits: Efficiency can never be > 100%. If you get > 100%, check your input/output swap.
  4. Square relation: Eₖ depends on v². If speed doubles, Kinetic Energy quadruples (2² = 4).
  5. GPE Reference: h is vertical height change. The path taken (ramp vs lift) doesn’t change Δ Eₚ, only the force required.
  6. kW vs W: Convert kW to W before using P = E/t (1 kW = 1000 W).
  7. kWh vs J: For energy in joules, use 1 kWh = 3.6 × 10⁶ J.
  8. g units: You may see g as N kg⁻¹ or m s⁻²; both are equivalent near Earth.
  9. Efficiency as decimal vs %: If you use a percentage, don’t multiply by 100 again.

Practice

  • Work, Energy and Power Quiz

    Check definitions, formula choice and common misconceptions.

    SupportingOpen lesson
  • Structured practice

    Apply energy accounting and comparison skills in longer questions.

    SupportingOpen lesson
  • Work, Energy & Efficiency Explorer

    Choose equations and trace useful and dissipated energy in interactive exam-style scenarios.

    SupportingOpen lesson
  • Household electricity application

    Apply power and energy ideas to appliance ratings and energy use.

Try this next

Start with the Energy check, which covers energy stores and transfers, efficiency and energy resources. Return to the lesson linked with any question you cannot yet explain in a complete sentence.

Finish with Work, Energy and Power structured practice to show full calculation methods and explanations.

Continue learning

Next topic

Continue to Pressure, or use the A-Level Work, Energy and Power hub only when you are ready for extension material such as the work–energy theorem.

Course and syllabus information
Course
SEC G3 Physics
Edition
SEC G3 Physics 2027