AQA · GCSE · Combined Science

    Course version: 8464 · Version from Sept 2018

    Momentum is defined by the equation:

    Full specification wording

    Momentum is a property of moving objects: Momentum is defined by the equation:

    Momentum is a vector property of a moving object, defined by the equation p = mv, where p is momentum in kilogram metres per second (kg m/s), m is mass in kilograms (kg) and v is velocity in…

    Checked against the AQA 8464 specification (opens in a new tab) on .

    • Point 1 of 6
    • 2 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Momentum is a vector property of a moving object, defined by the equation p = mv, where p is momentum in kilogram metres per second (kg m/s), m is mass in kilograms (kg) and v is velocity in metres per second (m/s). Because velocity has direction, momentum also has direction. For example, a 1500 kg car travelling at 20 m/s east has a momentum of 30,000 kg m/s east. A stationary object has zero momentum. The equation shows that momentum increases with both mass and velocity. Note: Although the tier field states foundation and higher, all momentum content is strictly Higher Tier only (HT only) in the Combined Science specification.

    What earns the marks

    • State the defining equation p = mv and identify each symbol correctly (HT only).
    • Use the correct unit, kg m/s, and recognise that momentum is a vector quantity (HT only).
    • Calculate momentum by multiplying mass in kilograms by velocity in metres per second (HT only).
    • Explain that a stationary object has zero momentum because its velocity is zero (HT only).

    Common mistakes and how to put them right

    • Using speed instead of velocity.

      Put it right: Treat momentum as a vector and include its direction when required (HT only).

    • Mixing units, such as using mass in grams.

      Put it right: Convert mass to kilograms before calculating momentum (HT only).

    • Omitting the units of momentum.

      Put it right: Memorise and append kg m/s to all final answers, as it is often required for a mark (HT only).

    Exam tips

    • Write the equation p = mv, substitute values with units, then state the unit kg m/s in your answer (HT only).
    • Include the direction of momentum whenever the question gives velocities along a specific line (HT only).

    Try the lesson

    The start of the Momentum is a property of moving objects: Momentum is defined by the equation: lesson, made from checked teaching notes for this specification point.

    Have a go first

    A cyclist of mass 70 kg rides at a velocity of 5 m/s. Using the equation for momentum, what is the momentum of the cyclist?

    Listen

    Momentum is a vector property of a moving object, defined by the equation p = mv, where p is momentum in kilogram metres per second (kg m/s), m is mass in kilograms (kg) and v is velocity in metres per second (m/s). Because velocity has direction, momentum also has direction. For example, a 1500 kg car travelling at 20 m/s east has a momentum of 30,000 kg m/s east. A stationary object has zero momentum. The equation shows that momentum increases with both mass and velocity. Note: Although the tier field states foundation and higher, all momentum content is strictly Higher Tier only (HT only) in the Combined Science specification. A strong answer earns marks for these points. State the defining equation p = mv and identify each symbol correctly (HT only). Use the correct unit, kg m/s, and recognise that momentum is a vector quantity (HT only). Calculate momentum by multiplying mass in kilograms by velocity in metres per second (HT only). Explain that a stationary object has zero momentum because its velocity is zero (HT only). A common slip: Using speed instead of velocity. Instead, Treat momentum as a vector and include its direction when required (HT only). Exam tip: Write the equation p = mv, substitute values with units, then state the unit kg m/s in your answer (HT only).

    See it

    A flowchart starting from the equation p = mv at the top. Three branches lead from it to the meaning of each symbol: p is momentum in kg m/s, m is mass in kg, and v is velocity in m/s. From the velocity branch, an arrow leads to 'Velocity has direction', which leads to 'Momentum has direction'. Two further branches lead from the equation: one to 'Momentum increases with mass and velocity', and one to 'Stationary object: velocity zero', which leads to 'Zero momentum'.
    It shows the momentum equation p = mv, what each symbol and unit means, and the consequences: momentum has direction, increases with mass and velocity, and is zero for a stationary object.

    Key words

    Say what each word means before you turn the card.

    Momentum

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

    Stationary object

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

    See every definition
    Momentum
    A vector property of a moving object, defined by the equation p = mv, where p is momentum in kilogram metres per second (kg m/s).
    Stationary object
    An object whose velocity is zero, so it has zero momentum.

    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 flowchart starting from the equation p = mv at the top. Three branches lead from it to the meaning of each symbol: p is momentum in kg m/s, m is mass in kg, and v is velocity in m/s. From the velocity branch, an arrow leads to 'Velocity has direction', which leads to 'Momentum has direction'. Two further branches lead from the equation: one to 'Momentum increases with mass and velocity', and one to 'Stationary object: velocity zero', which leads to 'Zero momentum'.
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    • 3Box 3

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