Work Done (Cambridge (CIE) IGCSE Physics)
Revision Note
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 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:
Where:
= work done, measured in newton-metres (N m)
= force applied, measured in newtons (N)
= distance in metres (m)
= energy transferred, measured in joules (J)
Formula triangle for work done, force and distance
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
Therefore:
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
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
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.
Calculate the work done by the brakes in stopping the car.
Answer:
Step 1: List the known quantities
Distance,
Force,
Step 2: Write out the work done equation
Step 3: Calculate the work done on the car by the brakes
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.
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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