AQA · GCSE · Physics

    Changes in Energy

    Master the essential energy calculations for your AQA GCSE Physics exam. This guide breaks down kinetic, potential, and elastic energy, showing you how to secure every mark with step-by-step worked examples and examiner insights.

    • 6 min read
    • 3 worked examples
    • 5 practice questions
    • 6 key terms
    🎙 Podcast Episode
    Changes in Energy
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    Study Notes

    Header image for Changes in Energy

    Overview

    Welcome to one of the most fundamental topics in your AQA GCSE Physics course: Changes in Energy (4.1.2). This isn't just about memorising formulas; it's about understanding the core principle that governs the universe: energy cannot be created or destroyed, only transferred between different stores. A solid grasp of this topic is crucial, as it forms the bedrock for understanding everything from electricity to mechanics. In the exam, you will be expected to perform multi-step calculations, often involving unit conversions and equation rearrangements. Questions frequently combine concepts, for example, asking you to calculate the speed of a falling object by equating its loss in gravitational potential energy to its gain in kinetic energy. This guide will equip you with the skills to tackle these calculation-heavy questions and describe the associated required practicals with the precision examiners are looking for.

    Key Concepts

    Concept 1: Energy Stores and Systems

    An 'energy store' is exactly what it sounds like: a way of storing energy. Think of it like a bank account for energy. A 'system' is just an object or a group of objects that we are interested in. When something happens, energy is transferred from one store to another. For your exam, you need to be familiar with the main energy stores.

    The 8 Energy Stores

    • Kinetic: The energy of a moving object.
    • Gravitational Potential: Energy stored by an object due to its position in a gravitational field.
    • Elastic Potential: Energy stored when an object is stretched or compressed.
    • Thermal: The total kinetic and potential energy of the particles in an object.
    • Chemical: Energy stored in the bonds between atoms.
    • Nuclear: Energy stored in the nucleus of an atom.
    • Magnetic: Energy stored when repelling poles have been pushed closer together or attracting poles have been pulled further apart.
    • Electrostatic: Energy stored when repelling charges have been moved closer together or attracting charges have been pulled further apart.
    Concept 2: The Conservation of Energy

    This is the golden rule: Energy can be transferred usefully, stored or dissipated, but can never be created or destroyed. In a 'closed system' (one where no energy can enter or leave), the total energy is always constant. However, in reality, energy transfers are rarely 100% efficient. Often, some energy is dissipated, usually as heat (to the thermal store of the surroundings), due to friction or air resistance. Examiners will award credit for using the term 'dissipated' or 'transferred to the thermal store' instead of the less precise term 'lost'.

    Energy Transfer Pathways

    Concept 3: Work Done

    Work is done whenever energy is transferred from one store to another. In mechanics, work is done when a force causes an object to move. The amount of work done is calculated by: Work Done (J) = Force (N) × Distance (m). This means the work done is equal to the energy transferred. For example, the work done to lift an object is equal to the gain in its gravitational potential energy store.

    Mathematical/Scientific Relationships

    These are the three critical equations for this topic. You must be able to recall and apply them. The kinetic and GPE equations are for both tiers, while the elastic potential energy equation is for Higher Tier only.

    Key Energy Equations

    FormulaWhat it MeansTierStatus
    E_k = ½mv²Kinetic Energy = 0.5 × mass × (speed)²BothMust memorise
    E_p = mghGravitational Potential Energy = mass × gravitational field strength × heightBothMust memorise
    E_e = ½ke²Elastic Potential Energy = 0.5 × spring constant × (extension)²Higher OnlyMust memorise
    ΔE = mcΔθChange in Thermal Energy = mass × specific heat capacity × temperature changeBothGiven on formula sheet

    Unit Conversions are Crucial:

    • Mass must be in kilograms (kg). To convert grams to kg, divide by 1000.
    • Speed must be in metres per second (m/s).
    • Height and extension must be in metres (m). To convert cm to m, divide by 100.
    • Energy must be in joules (J). To convert kJ to J, multiply by 1000.

    Required Practical: Specific Heat Capacity

    This practical is a common source of exam questions, including 6-mark questions asking for a detailed method.

    Aim: To determine the specific heat capacity of a material.

    Apparatus:

    • A block of the material (e.g., aluminium) with two holes
    • A thermometer
    • An immersion heater
    • A power supply
    • A joulemeter (or a voltmeter and ammeter to calculate energy)
    • Insulating material (e.g., cotton wool)
    • A balance for measuring mass
    • A stopwatch

    Method:
    SHC Required Practical Method

    1. Measure the mass of the block using the balance.
    2. Assemble the apparatus, placing the heater in one hole and the thermometer in the other. A small amount of water in the thermometer hole ensures good thermal contact.
    3. Wrap the block in insulation to reduce energy transfer to the surroundings.
    4. Record the initial temperature of the block.
    5. Switch on the power supply and start the stopwatch. Record the energy supplied using the joulemeter (or calculate it using E = IVt).
    6. After a set amount of energy has been supplied (or after a set time), switch off the power.
    7. Monitor the thermometer. The temperature will continue to rise for a short while. Record the highest temperature reached.
    8. Calculate the temperature change (Δθ).
    9. Calculate the specific heat capacity (c) using the formula c = ΔE / (m × Δθ).

    Common Errors & Improvements:

    • Error: Energy is transferred to the surroundings, not just the block. This makes the calculated specific heat capacity higher than the true value.
    • Improvement: Use insulation and a lid to minimise this effect.
    • Error: The thermometer may not be in good thermal contact with the block.
    • Improvement: Place a drop of water in the hole with the thermometer.
    • Error: Not waiting for the maximum temperature to be reached after switching off the heater.
    • Improvement: Observe the thermometer carefully and record the peak temperature.

    Visual Resources

    4 diagrams and illustrations

    The 8 Energy Stores
    The 8 Energy Stores
    Key Energy Equations
    Key Energy Equations
    Energy Transfer Pathways
    Energy Transfer Pathways
    SHC Required Practical Method
    SHC Required Practical Method

    Interactive Diagrams

    2 interactive diagrams to visualise key concepts

    Conceptual Flow Outline

    🏔️ Gravitational Potential Energy Store\nE_p = mgh
    ➔"Object falls\n(no friction)"⚡ Kinetic Energy Store\nE_k = ½mv²
    ➔"Object compresses spring"🌀 Elastic Potential Energy Store\nE_e = ½ke²
    ➔"Friction / air resistance"🌡️ Thermal Energy Store\n(surroundings)
    no friction
    ⚡ Kinetic Energy Store\nE_k = ½mv²
    ➔"Friction / air resistance"🌡️ Thermal Energy Store\n(surroundings)
    🌀 Elastic Potential Energy Store\nE_e = ½ke²
    ➔"Spring releases"⚡ Kinetic Energy Store\nE_k = ½mv²

    This flowchart shows the key pathways for energy transfer between Gravitational Potential, Kinetic, and Elastic Potential energy stores, including the dissipation of energy to the thermal store of the surroundings due to friction.

    Conceptual Flow Outline

    📏 Measure mass of metal block\n(kg)
    ➔🌡️ Record initial temperature\n(°C)
    🌡️ Record initial temperature\n(°C)
    ➔🔌 Connect heater & joulemeter\nto block
    🔌 Connect heater & joulemeter\nto block
    ➔⏱️ Switch on heater\nRecord energy supplied (J)
    ⏱️ Switch on heater\nRecord energy supplied (J)
    ➔🌡️ Record final temperature\n(°C)
    🌡️ Record final temperature\n(°C)
    ➔🧮 Calculate ΔΘ\n= T_final − T_initial
    🧮 Calculate ΔΘ\n= T_final − T_initial
    ➔🧮 Apply equation\nE = mcΔΘ\nRearrange: c = E ÷ (m × ΔΘ)
    🧮 Apply equation\nE = mcΔΘ\nRearrange: c = E ÷ (m × ΔΘ)
    ➔📊 Compare to accepted value\nNote: measured c > true c\nbecause energy lost to surroundings

    A step-by-step method for the required practical to determine the Specific Heat Capacity of a material. It highlights the key measurements, calculations, and the crucial evaluation point about energy loss.

    Worked Examples

    3 worked examples — open one to explore the question and available guidance.

    Practice Questions

    Test your understanding — click to reveal model answers

    Q1

    A ball of mass 0.5 kg is dropped from a height of 10 m. Assuming all the gravitational potential energy is converted to kinetic energy, calculate the speed of the ball just before it hits the ground. (g = 9.8 N/kg)

    5 marks
    standard

    Hint: This is a two-step calculation. First, find the GPE at the start. Then, use that value as the KE at the end to find the speed.

    Q2

    Describe an experiment to find the specific heat capacity of a block of aluminium.

    6 marks
    standard

    Hint: Think about what you need to measure (mass, temperature change, energy supplied) and the equipment you would use. What are the sources of error?

    Q3

    A spring with a spring constant of 200 N/m is stretched by 0.15 m. Calculate the energy stored in the spring.

    3 marks
    foundation

    Hint: This is a Higher Tier question. Use the formula for elastic potential energy. Don't forget the squared term!

    Q4

    Explain why a bungee jumper slows down and stops at the bottom of their jump in terms of energy transfers.

    4 marks
    challenging

    Hint: Think about the energy stores at the start (GPE), during the fall (KE), and at the bottom (E_e). What is happening to the energy?

    Q5

    A 1.5 kg kettle contains 1.2 kg of water at 20 °C. It is switched on and heats the water to 100 °C. The specific heat capacity of water is 4200 J/kg°C. Calculate the energy required to heat the water.

    4 marks
    standard

    Hint: Use the specific heat capacity equation. Be careful to use the mass of the water, not the kettle. First, calculate the temperature change.

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