Work, power and efficiency
Energy and work
When a force causes a body to move, work is being done by the
force. Work is the measure of the energy transferred when the force
(F) moves an object through a distance (d).
When the work is done, energy has been transferred from an energy
store to another so:
energy transferred = work done
both of these are measured in joules (J)
Calculating the work done
the amount of work done depends on the size of the force and the
distance in which the object travelled caused by the force.
The equation used to calculate the work done is:
Work done = force x distance (W = F x d)
This is when work is measured in joules (J), Force is in newtos (N)
and distance is travelling the same direction as the force and is
measured in metres (m)
For example :
15N force applied and box moved by 3m
In this example, a force of 15N causes the box move a distance of
3m so:
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W=Fxd
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W = 15 x 2
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W = 30 J
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One joule of work done when a force of one newton is used to
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move an object a metre.
Energy and Power
When work is done on an object, energy is transferred. The rate
that the energy is being transferred is called power.
So the more powerful something is, the faster it’ll transfer energy.
How to calculate Power
The equation for calculating power is:
Power = work done / time
Power = W / t
This is when power (P) is measured in watts (W), work done (W) is
measured in joules (J) & time is measured in seconds (s).
One watt = one joule per second (J/s). So every extra joule
transferred the power increases by a watt.
For Example:
2 cats (Bob & Timmy) lift a 2N weight
through a vertical height of 10m.
Bob takes 5 seconds. Timmy takes 10
seconds.
Work done: W = F x d = 2 x 10 = 20 J
Bob: P = W / t = 20 / 5 = 4 W
Timmy: P = W / t = 20 / 10 = 2 W
In conclusion since Bob did it twice as
fast as Timmy, Bob is more powerful than
Timmy.