Is Work Path Dependent with a Zero Total Displacement?

[fiziksfun]

Is work done if the total displacement is 0?

It doesn't matter what path the object took to get from A back to A, right? As long as it ends at A, then its zero work, correct?

So work IS NOT path dependent, it's a state function, like energy, right ?

 

[Hootenanny]

Is work done if the total displacement is 0?

In general, yes.

It doesn't matter what path the object took to get from A back to A, right? As long as it ends at A, then its zero work, correct?

No. In general even if the displacement is zero when a force acts on a moving object, work is done.

So work IS NOT path dependent, it's a state function, like energy, right ?

Nope, work is path dependent.

For example, consider dragging a block across a rough surface for a distance of ten meters and then dragging it back to the same place you started. Did you do work on that block?