AQA · GCSE · Physics

    Course version: 8463 · Version from Sept 2016

    Students should be able to calculate relevant values of stored energy and…

    Full specification wording

    Forces and elasticity: Students should be able to calculate relevant values of stored energy and energy transfers.

    These are the multi-step questions.

    Checked against the AQA 8463 specification (opens in a new tab) on .

    • Point 6 of 7
    • 2 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    These are the multi-step questions. A typical one gives the energy stored in a stretched cord and asks for the spring constant, so the elastic energy equation is rearranged to make the spring constant the subject and the energy is converted from kilojoules to joules first: 24500 = ½ × k × 35² gives k = 40 N/m. Others chain the equations together - elastic potential to kinetic, so the two expressions are equated and a speed is found; or elastic potential to gravitational potential, giving a height. The two traps are using the total stretched length instead of the extension, and forgetting to square. Keep every value in joules, newtons, metres and kilograms, and write down the transfer you are assuming before you start.

    What earns the marks

    • Identifying the extension rather than the total length, such as 35 m of stretch on a cord that began at 20 m.
    • Converting the energy from kilojoules into joules.
    • A correct substitution and a correct rearrangement of the energy equation.
    • The answer with its unit, with full credit available for a correct answer shown without working.

    Common mistakes and how to put them right

    • Using the full stretched length of a bungee cord as the extension, which gives 16.2 rather than 40.

    • Forgetting to square the extension when rearranging for the spring constant.

    • Leaving the energy in kilojoules, so the answer is a thousand times too small.

    • Halving twice, by using the half in the equation and then dividing the answer by two.

    Exam tips

    • Write down which stores are involved before touching the calculator; the chain tells you which equations to equate.
    • A correct answer without working still scores, but a wrong one without working scores nothing, so show the substitution.

    Try the lesson

    The start of the Forces and elasticity: Students should be able to calculate relevant values of stored energy and energy transfers. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A spring has a spring constant of 250 N/m. It is compressed by 0.08 m. Calculate the elastic potential energy stored in the spring.

    Listen

    These are the multi-step questions. A typical one gives the energy stored in a stretched cord and asks for the spring constant, so the elastic energy equation is rearranged to make the spring constant the subject and the energy is converted from kilojoules to joules first: 24500 = ½ × k × 35² gives k = 40 N/m. Others chain the equations together - elastic potential to kinetic, so the two expressions are equated and a speed is found; or elastic potential to gravitational potential, giving a height. The two traps are using the total stretched length instead of the extension, and forgetting to square. Keep every value in joules, newtons, metres and kilograms, and write down the transfer you are assuming before you start. A strong answer earns marks for these points. identifying the extension rather than the total length, such as 35 m of stretch on a cord that began at 20 m. converting the energy from kilojoules into joules. a correct substitution and a correct rearrangement of the energy equation. the answer with its unit, with full credit available for a correct answer shown without working. Exam tip: Write down which stores are involved before touching the calculator; the chain tells you which equations to equate.

    See it

    A top-to-bottom flowchart with six steps. Step one: write down the stores involved. Step two: identify the extension, not the total length. Step three: convert energy from kilojoules to joules. Step four: rearrange the elastic potential energy equation. Step five: substitute values and calculate. Step six: give the answer with its unit. Each step leads to the next.
    The sequence of steps for rearranging the elastic potential energy equation to find a spring constant from stored energy and extension.

    Put it in order

    Put these steps in the order they happen.

    1. 1. Convert energy from kilojoules to joules
    2. 2. Identify the extension, not the total length
    3. 3. Write down the stores involved
    4. 4. Give the answer with its unit
    5. 5. Substitute values and calculate
    6. 6. Rearrange the elastic potential energy equation

    Key words

    Say what each word means before you turn the card.

    rearrangement

    Try answering aloud or in your head before turning the card.

    unit conversion

    Try answering aloud or in your head before turning the card.

    See every definition
    rearrangement
    Making a quantity the subject of an equation, such as rearranging the elastic energy equation to make the spring constant the subject.
    unit conversion
    Changing values into the right units before substituting, such as converting energy from kilojoules into joules and lengths into metres.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-to-bottom flowchart with six steps. Step one: write down the stores involved. Step two: identify the extension, not the total length. Step three: convert energy from kilojoules to joules. Step four: rearrange the elastic potential energy equation. Step five: substitute values and calculate. Step six: give the answer with its unit. Each step leads to the next.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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