OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    Work and conservation of energy: (a) work done by a force; the unit joule

    Work is done when a force moves its point of application through a displacement, and for a constant force in the direction of motion W = Fs, where W is work in joules, F is the force in newtons…

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

    • Point 1 of 5
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Work is done when a force moves its point of application through a displacement, and for a constant force in the direction of motion W = Fs, where W is work in joules, F is the force in newtons and s is the displacement in metres. One joule is the work done when a force of one newton moves an object one metre in the direction of the force, so 1 J = 1 N m. If the force acts at an angle θ to the displacement, only the component along the displacement does work, W = Fs cos θ.

    For example: A 20 N force pushing a box 3.0 m along its direction does W = 20 × 3.0 = 60 J. Work done on an object transfers energy to it, and work done by it transfers energy away.

    What earns the marks

    • States that work is done when a force moves its point of application through a displacement.
    • Applies W = Fs for a constant force acting along the displacement.
    • Defines the joule as the work done by a one-newton force moving an object one metre in the direction of the force, so 1 J = 1 N m.
    • Uses W = Fs cos θ when the force is at an angle θ to the displacement.
    • Links work done to energy transfer, recognising that work done on an object increases its energy store.

    Common mistakes and how to put them right

    • Using the total force when it acts at an angle.

      Put it right: The error is ignoring the direction, and the correction is to use the component along the displacement, F cos θ.

    • Treating work as a vector.

      Put it right: The error is giving work a direction, and the correction is to recognise that work and energy are scalar quantities measured in joules.

    • Assuming a force does work even when there is no displacement.

      Put it right: The error is forgetting the displacement condition, and the correction is to note that no work is done if the point of application does not move.

    Exam tips

    • Check that the force and displacement are along the same line; if not, resolve the force before multiplying.
    • Write the unit as J and remember 1 J = 1 N m, which helps you check equations by unit analysis.
    • For a force perpendicular to the motion, such as a centripetal force, state that no work is done because cos 90° = 0.

    Try the lesson

    The start of the Work and conservation of energy: (a) work done by a force; the unit joule lesson, made from checked teaching notes for this specification point.

    Listen

    Work is done when a force moves its point of application through a displacement, and for a constant force in the direction of motion W = Fs, where W is work in joules, F is the force in newtons and s is the displacement in metres. One joule is the work done when a force of one newton moves an object one metre in the direction of the force, so 1 J = 1 N m. If the force acts at an angle θ to the displacement, only the component along the displacement does work, W = Fs cos θ. For example, a 20 N force pushing a box 3.0 m along its direction does W = 20 × 3.0 = 60 J. Work done on an object transfers energy to it, and work done by it transfers energy away. A strong answer earns marks for these points. States that work is done when a force moves its point of application through a displacement. Applies W = Fs for a constant force acting along the displacement. Defines the joule as the work done by a one-newton force moving an object one metre in the direction of the force, so 1 J = 1 N m. Uses W = Fs cos θ when the force is at an angle θ to the displacement. Exam tip: Check that the force and displacement are along the same line; if not, resolve the force before multiplying.

    See it

    A top-down flowchart. The top node reads 'Force moves its point of application through a displacement' and points down to 'Work is done'. From there two branches lead down: 'Constant force along displacement: W = Fs' and 'Force at angle θ to displacement: W = Fs cos θ'. Both branches lead to a node reading 'Unit: joule, 1 J = 1 N m'. From that node two branches lead down: 'Work done on an object transfers energy to it' and 'Work done by an object transfers energy away'.
    It shows that work is done when a force moves its point of application through a displacement, the two equations for force along or at an angle to the displacement, the joule, and the link to energy transfer.

    Key words

    Say what each word means before you turn the card.

    Work done by a force

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

    The joule

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    Work done by a force at an angle to the displacement

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    Work as a transfer of energy

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    See every definition
    Work done by a force
    Work is done when a force moves its point of application through a displacement.
    The joule
    One joule is the work done when a force of one newton moves an object one metre in the direction of the force, so 1 J = 1 N m.
    Work done by a force at an angle to the displacement
    If the force acts at an angle θ to the displacement, only the component along the displacement does work, W = Fs cos θ.
    Work as a transfer of energy
    Work done on an object transfers energy to it, and work done by it transfers energy away.

    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 top node reads 'Force moves its point of application through a displacement' and points down to 'Work is done'. From there two branches lead down: 'Constant force along displacement: W = Fs' and 'Force at angle θ to displacement: W = Fs cos θ'. Both branches lead to a node reading 'Unit: joule, 1 J = 1 N m'. From that node two branches lead down: 'Work done on an object transfers energy to it' and 'Work done by an object transfers energy away'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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