Work Done
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 on an object, energy is transferred
- The amount of energy transferred (in joules) is equal to the work done (also in joules)
energy transferred (J) = work done (J)
Work is done when a force is used to move an object
Calculating Work Done
- 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)
- s = distance/displacement in metres (m)
- You can rearrange this equation with the help of the formula triangle:
Use the formula triangle to help you rearrange the equation
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.
Step 1: List the known quantities
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- Distance, s = 23 m
- Force, F = 500 N
Step 2: Write out the equation relating work, force and distance
W = F × s
Step 3: Calculate the work done on the car by the brakes
W = 500 × 23
W = 11 500 J
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
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
Air resistance (drag) does work against the bird as it flies through the air
Worked example
A woman draws a bucket up out of a well. The bucket has a mass of 12 kg when filled with water and the well is 15 m deep.
a) Describe the energy transfer involved in raising the bucket out of the well
b) Calculate the energy transferred to the bucket
Part (a)
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- Energy is transferred mechanically (a force is acting over a distance)
- from the kinetic store of the woman (as she pulls the rope)
- to the gravitational potential store of the bucket (as it is lifted upwards)
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Part (b)
Step 1: List all of the known quantities
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- Mass, m = 12 kg
- Gravitational field strength, g = 10 N/kg
- Height, h = 15 m
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Step 2: Write the equation relating work, force and distance
Step 3: Write out the equation for weight and substitute it into the work equation
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- Note: This is the equation for gravitational potential energy
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Step 4: Calculate the work done on the bucket
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- The bucket gained 1800 J of gravitational potential energy
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Examiner Tip
Remember:
- Changes in speed are related to kinetic energy
- Changes in height are related to gravitational potential energy
- Changes in the shape of materials are related to elastic potential energy