Work Done (SQA National 5 Physics): Revision Note

Exam code: X857 75

Katie M

Written by: Katie M

Reviewed by: Caroline Carroll

Updated on

Work done

  • Work is done when an object is moved over a distance by a force applied in the direction of its displacement

    • It is said that the force does work on the object

    • If a force is applied to an object but doesn’t result in any movement, no work is done

  • When work is done, energy is transferred

  • Work done is equal to the amount of energy transferred

  • If a force acts in the same direction as the object's movement, then the object gains energy

  • If a force acts in the opposite direction to the object's movement, then the object loses energy

Work done pushing a box

A person pushes a large grey block, illustrating the concept of force. An arrow labelled "force" indicates the direction of movement, marked as "distance moved".
Work is done when a force is used to move an object over a distance, and energy is transferred from the person to the box

Calculating work done

  • The relationship between work done, force, and distance is:

E subscript w space equals space F d

  • Where:

    • E subscript w = work done, or energy transferred, measured in joules (J) or newton-metres (N m)

      • 1 space straight N space straight m space equals space 1 space straight J

    • F = force applied, measured in newtons (N)

    • d = distance in metres (m)

Relationship triangle for work done, force and distance

Triangle diagram illustrating the work formula: work (W) at top, force (F) and distance moved (d) at the bottom left and right, respectively.
To use a relationship triangle, simply cover up the quantity you wish calculate and the structure of the relationship is revealed

Examples of work done

  • Work is done on a ball when it is lifted to a height above the ground: 

    • A force is required to lift the ball

    • Work is done against the weight force to lift the ball through the gravitational field

    • Energy is transferred as work is done

Green ball in freefall; arrows show upward height and downward weight. Background of grass and text at top reading "Ball in freefall".
The weight on the ball produced by the gravitational field does work on the ball over a distance 
  • Work is done when a bird flies through the air

    • A force is required to overcome the drag force

    • Work is done against the drag force as the bird flies over a distance

    • Energy is transferred as work is done

Work done by a bird

Bird flying against air resistance indicated by an arrow. Another arrow points in the opposite direction indicating distance. Grass below and a cloud above.
The bird does work against air resistance (drag) as it flies through the air

Worked Example

A car moving at speed begins to apply the brakes. The brakes of the car apply a force of 500 N, which brings it to a stop after 23 m.

braking-work, IGCSE & GCSE Physics revision notes

Calculate the work done by the brakes in stopping the car.

Answer:

Step 1: List the known quantities

  • Distance, d space equals space 23 space straight m 

  • Force, F space equals space 500 space straight N 

Step 2: Write down the relationship between work, force, and distance

E subscript w space equals space F d

Step 3: Calculate the work done on the car by the brakes

E subscript w space equals space 500 space cross times space 23

E subscript w space equals space 11 space 500 space straight J

Step 4: Round to an appropriate number of significant figures

  • The lowest number of significant figures in the input values in 1 s.f. (500 N)

  • Therefore, the final answer must be rounded to 1 s.f.

E subscript w space equals space 10 space 000 space straight N space open parentheses 1 space straight s. straight f. close parentheses

Examiner Tips and Tricks

Remember to always convert the distance into metres and force into newtons so that the work done is in joules or newton-metres

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Katie M

Author: Katie M

Expertise: Physics Content Creator

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Physics & Chemistry Subject Lead

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about creating high-quality resources to help students achieve their full potential.