OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    Newton’s laws of motion: (d) impulse of a force; impulse = F t T

    The impulse of a force is the product of the force and the time for which it acts: impulse = FΔt.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 4 of 5
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    The impulse of a force is the product of the force and the time for which it acts: impulse = FΔt. Since F = Δp/Δt, impulse equals the change in momentum, so impulse = Δp = mΔv. Impulse is a vector with the same direction as the force, and its SI unit is N s, equivalent to kg m s⁻¹. For example, a force of 20 N acting for 0.50 s gives an impulse of 10 N s, changing the momentum of the body by 10 kg m s⁻¹ in the force's direction. Increasing the contact time for a given momentum change reduces the force, which is why crumple zones and airbags reduce injury.

    What earns the marks

    • Impulse is defined as the product of force and the time for which it acts: impulse = FΔt.
    • Impulse equals the change in momentum: impulse = Δp = mΔv.
    • The SI unit of impulse is N s, equivalent to kg m s⁻¹.
    • Impulse is a vector in the direction of the applied force.
    • For a fixed momentum change, a longer contact time gives a smaller average force.

    Common mistakes and how to put them right

    • Confusing impulse with force.

      Put it right: Impulse is force multiplied by time, measured in N s.

    • Forgetting that impulse equals change in momentum.

      Put it right: Use impulse = Δp to link force and motion.

    • Assuming a longer contact time increases the force.

      Put it right: For a fixed Δp, longer time means smaller average force.

    Exam tips

    • Use impulse = Δp when the force is not constant or is unknown.
    • Check that time is in seconds before multiplying by force.
    • Link safety features to increased contact time reducing peak force.

    Try the lesson

    The start of the Newton’s laws of motion: (d) impulse of a force; impulse = F t T lesson, made from checked teaching notes for this specification point.

    Listen

    The impulse of a force is the product of the force and the time for which it acts: impulse = FΔt. Since F = Δp/Δt, impulse equals the change in momentum, so impulse = Δp = mΔv. Impulse is a vector with the same direction as the force, and its SI unit is N s, equivalent to kg m s⁻¹. For example, a force of 20 N acting for 0.50 s gives an impulse of 10 N s, changing the momentum of the body by 10 kg m s⁻¹ in the force's direction. Increasing the contact time for a given momentum change reduces the force, which is why crumple zones and airbags reduce injury. A strong answer earns marks for these points. Impulse is defined as the product of force and the time for which it acts: impulse = FΔt. Impulse equals the change in momentum: impulse = Δp = mΔv. The SI unit of impulse is N s, equivalent to kg m s⁻¹. Impulse is a vector in the direction of the applied force. A common slip: Confusing impulse with force. Instead, impulse is force multiplied by time, measured in N s. Exam tip: Use impulse = Δp when the force is not constant or is unknown.

    See it

    A top-down flowchart. The first box reads 'Force F acts for time Δt' and points to a box reading 'Impulse = FΔt'. From that box three arrows lead to: 'Impulse = Δp = mΔv', 'Unit: N s, equivalent to kg m s⁻¹', and 'Vector in direction of force'. From the 'Impulse = Δp = mΔv' box an arrow leads to 'Fixed momentum change Δp', then to 'Longer contact time', then to 'Smaller average force', and finally to 'Crumple zones and airbags reduce injury'.
    It shows how impulse is defined as force times time, linked to change in momentum, and how a longer contact time reduces the force for a fixed momentum change.

    Key words

    Say what each word means before you turn the card.

    Impulse and change in momentum

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

    Force–time relationships

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

    Safety applications of impulse

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

    Units of impulse

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

    See every definition
    Impulse and change in momentum
    Impulse equals the change in momentum, so impulse = Δp = mΔv.
    Force–time relationships
    The impulse of a force is the product of the force and the time for which it acts: impulse = FΔt.
    Safety applications of impulse
    Increasing the contact time for a given momentum change reduces the force, which is why crumple zones and airbags reduce injury.
    Units of impulse
    The SI unit of impulse is N s, equivalent to kg m s⁻¹.

    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-down flowchart. The first box reads 'Force F acts for time Δt' and points to a box reading 'Impulse = FΔt'. From that box three arrows lead to: 'Impulse = Δp = mΔv', 'Unit: N s, equivalent to kg m s⁻¹', and 'Vector in direction of force'. From the 'Impulse = Δp = mΔv' box an arrow leads to 'Fixed momentum change Δp', then to 'Longer contact time', then to 'Smaller average force', and finally to 'Crumple zones and airbags reduce injury'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

    There is more to this lesson

    The full lesson goes on to check your understanding and help you earn the marks. Create a free account to carry on, with your progress saved.

    Carry on with the full lesson

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Test your understanding of Newton’s laws of motion: (d) impulse of a force; impulse = F t T

    Active recall beats re-reading. Take an instant quiz now to test what you’ve learned and lock it into long-term memory.

    Take topic quiz

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge