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Doing work
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when you push or pull something
Doing work: when you push or pull something and make it move, you do work.
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work done (in joules) = force (in newtons) distance (in metres)
How much work? Imagine pushing a car along a road. You must apply a force . . . . . . and you push the car a certain distance. work done (in joules) = force (in newtons) distance (in metres)
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the amount of work you do = the amount of energy transferred
As you push the car, you transfer energy from your body to: the car – increasing its kinetic energy the surroundings (and bits of the car) – which heat up because of friction the amount of work you do = the amount of energy transferred
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An example I push my car 30 m. I push with a force of 400 N. work done = force distance = 400 N 30 m = J
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Doing work against gravity
If you lift something up, you must exert enough force to balance the force of gravity. The upward force is equal to the weight of the object. You transfer some energy from your body – and this increases the gravitational energy of the thing you lift.
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Work done = energy transferred
So if you lift something through a certain distance work done = force distance or change in gravitational potential energy = weight vertical height gain
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Lifting A woman lifts up her baby. The baby weighs 100 N. The woman lifts the baby up by 2 m. change in gravitational potential energy = work done = weight vertical height difference = 100 N 2 m = 200 J
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If you push your car uphill, you do work: work done = force distance
Pushing a car uphill If you push your car uphill, you do work: work done = force distance You increase the gravitational potential energy of your car: change in gravitational potential energy = weight vertical height gain Are these the same? If not, why not?
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The calculation work done in pushing = force distance = 450 N 30 m = J gain in gravitational potential energy = weight vertical height gain = 900 N 1 m = 9000 J
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So why the difference? Some of the energy is transferred to the surroundings – heating them up. Only part of it goes to increasing the gravitational potential energy of the car.
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