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9 August, 09:18

What real-world examples show not work being done? Can you think of examples other than resisting the force of gravity?

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  1. 9 August, 11:14
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    Work is defined as a force doing a movement, for example, if with a force F we move an object a distance D, the work done is:

    W = F*D

    (note, the force is causing the movement, the product here is a dot product, this means that if the force and the displacement are perpendiculars, the product is zero)

    So the examples where there are not work being done may be:

    We do not have any movement:

    For example, you can go to a wall in your house and push it really hard.

    There is a force, but the wall will not move, so we have D = 0

    and W = F*D = F*0 = 0

    Because we have no motion.

    Another case is where the force and the direction of motion are perpendiculars.

    If we have for example a car, moving at a constant speed, and you push it sidewise (perpendicular to the direction of movement) we have a force being applied and movement, but those are in different directions (so the force does not cause the movement) so we dont have work being done.
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