AQA · GCSE · Physics

    Course version: 8463 · Version from Sept 2016

    (HT only) A single force can be resolved into two components acting at…

    Full specification wording

    Resultant forces: (HT only) A single force can be resolved into two components acting at right angles to each other.

    Higher tier only.

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

    • Point 5 of 7
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Higher tier only. A single force acting at an angle can be replaced by two components at right angles to each other, usually one horizontal and one vertical. Draw the force as the diagonal of a rectangle whose sides run along the two chosen directions, and the two sides are the components. Each component is smaller than the original force. Resolving explains real situations: a sled pulled by a rope at an angle is only driven forward by the horizontal component of the pull, while the vertical component effectively lifts the sled and so reduces the normal contact force from the surface, which in turn reduces the friction. On a scale drawing, the components are measured from the rectangle using the stated scale.

    What earns the marks

    • Splitting the single force into two components at right angles to each other.
    • Identifying which component does the useful job, such as only the horizontal component pulling the sled forward.
    • The effect of the other component, such as the vertical component effectively lifting the sled.
    • The consequence of that, a reduction in the force of the surface on the object.
    • A scale drawing in which the two components form the sides of a rectangle with the original force as its diagonal.

    Common mistakes and how to put them right

    • Halving the force to get each component.

    • Drawing two components that are not at right angles to each other.

    • Making a component longer than the original force.

    • Forgetting that the vertical component changes the normal contact force and therefore the friction.

    • Resolving along directions that do not match the ones the question is interested in.

    Exam tips

    • Choose your two directions to match the question, usually along the motion and at right angles to it.
    • Sketch the rectangle even when you only need one component; it keeps the geometry honest.
    • Say what each component physically does, because the marks are for the consequences, not the drawing alone.

    Try the lesson

    The start of the Resultant forces: (HT only) A single force can be resolved into two components acting at right angles to each other. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A student uses a scale drawing to resolve a single diagonal force of 50 N into horizontal and vertical components. Which statement correctly describes these components?

    Listen

    Higher tier only. A single force acting at an angle can be replaced by two components at right angles to each other, usually one horizontal and one vertical. Draw the force as the diagonal of a rectangle whose sides run along the two chosen directions, and the two sides are the components. Each component is smaller than the original force. Resolving explains real situations: a sled pulled by a rope at an angle is only driven forward by the horizontal component of the pull, while the vertical component effectively lifts the sled and so reduces the normal contact force from the surface, which in turn reduces the friction. On a scale drawing, the components are measured from the rectangle using the stated scale. A strong answer earns marks for these points. splitting the single force into two components at right angles to each other. identifying which component does the useful job, such as only the horizontal component pulling the sled forward. the effect of the other component, such as the vertical component effectively lifting the sled. the consequence of that, a reduction in the force of the surface on the object. Exam tip: Choose your two directions to match the question, usually along the motion and at right angles to it.

    See it

    A top-down flowchart. The first box reads 'Single force acting at an angle' and an arrow leads to 'Resolve into two components at right angles'. From there two arrows branch out: one to 'Horizontal component' and one to 'Vertical component'. The horizontal branch continues to 'Only the horizontal component pulls the sled forward'. The vertical branch continues to 'Vertical component effectively lifts the sled', then to 'Reduces the normal contact force from the surface', and finally to 'Reduces the friction'.
    It shows a single angled force being resolved into horizontal and vertical components, and how each component affects a sled being pulled.

    Key words

    Say what each word means before you turn the card.

    resolving a force

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

    perpendicular components

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

    horizontal and vertical

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

    effect on normal contact force

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

    See every definition
    resolving a force
    Splitting a single force into two components acting at right angles to each other.
    perpendicular components
    Two components at right angles to each other that replace a single force acting at an angle.
    horizontal and vertical
    The two directions usually chosen for the components, with the force drawn as the diagonal of a rectangle whose sides run along them.
    effect on normal contact force
    The vertical component effectively lifts the sled and so reduces the normal contact force from the surface, which in turn reduces the friction.

    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 'Single force acting at an angle' and an arrow leads to 'Resolve into two components at right angles'. From there two arrows branch out: one to 'Horizontal component' and one to 'Vertical component'. The horizontal branch continues to 'Only the horizontal component pulls the sled forward'. The vertical branch continues to 'Vertical component effectively lifts the sled', then to 'Reduces the normal contact force from the surface', and finally to 'Reduces the friction'.
    • 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 Resultant forces: (HT only) A single force can be resolved into two components acting at right angles to each other.

    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