Work Done (Cambridge (CIE) IGCSE Physics)

Revision Note

Katie M

Written by: Katie M

Reviewed by: Caroline Carroll

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Work done & energy transfers

  • Mechanical 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 and energy transferred are equivalent quantities

Work done pushing a box

work-force-object, IGCSE & GCSE Physics revision notes

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

Work done equation

  • The formula for work done is:

W space equals space F d space space equals space increment E

 

  • Where:

    • W = work done, measured in newton-metres (N m)

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

    • d = distance in metres (m)

    • increment E = energy transferred, measured in joules (J)

Formula triangle for work done, force and distance

Work triangle (3), IGCSE & GCSE Physics revision notes

To use a formula triangle, simply cover up the quantity you wish calculate and the structure of the equation is revealed

  • Using formula triangles is covered in more detail in the revision note on Speed & velocity

  • Mechanical work done and electrical work done are equivalent to energy transferred

work space done space equals space energy space transferred

  • Therefore:

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

Examples of work done

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

    • 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 in done

Work Done ball, downloadable IGCSE & GCSE Physics revision notes

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

Work Done bird, downloadable IGCSE & GCSE Physics revision notes

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 out the work done equation

W space equals space F d

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

W space equals space 500 space cross times space 23

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.

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

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

Author: Caroline Carroll

Expertise: Physics 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.