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Work (Cambridge O Level Physics)
Revision Note
Work Done & Energy Transfers
- 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
Work Done on an Object
Work is done when a force is used to move an object
- The formula for work done is:
Work done = force × distance
- Where:
- W = work done in joules (J) or newton-metres (N m)
- F =force in newtons (N)
- d = distance in metres (m)
- You can rearrange this equation with the help of the formula triangle:
Formula Triangle for Work Done
Use the formula triangle to help you rearrange the equation
- Multiplying force and distance produces units of newton-metres (N m)
- Work is measured in joules (J)
- This leads to a simple conversion:
1 J = 1 N m
- One joule is equal to the work done by a force of one newton acting through one metre
- Therefore, the number of joules is equal to the number of newton-metres, making conversions between the units very straightforward, for example:
1000 J = 1000 N m
- Whenever any mechanical work is done, energy is transferred mechanically from one store to another
- The amount of energy transferred (in joules) is equal to the work done (in joules or newton-metres)
energy transferred (J) = work done (J)
- If a force acts in the direction that an object is moving, then the object will gain energy (usually to its kinetic energy store)
- If the force acts in the opposite direction to the movement then the object will lose energy (dissipated to the surroundings usually by heating)
- Therefore:
Examples of Work
- Work is done on a ball when it is lifted to a height
- The energy is transferred mechanically from the ball's kinetic energy store to its gravitational potential energy store
Weight Force Doing Work on a Ball
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
- The bird must travel against air resistance, therefore energy is transferred from the bird's kinetic store to its thermal store and dissipated to the thermal store of the surroundings
Work Done Opposing Motion
Air resistance (drag) does work against the bird 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, d = 23 m
- Force, F = 500 N
Step 2: Write out the equation relating work, force and distance
W = F × d
Step 3: Calculate the work done on the car by the brakes
W = 500 × 23
W = 11 500 J
Examiner Tip
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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