# Opposing forces but opposite travel = no work?

1. Aug 7, 2010

### CountFleet

Hi, This is something I was wondering about. Can two objects with opposing forces travel in opposite directions with out any work(minus friction)? I made a drawing in pdf format to demonstrate what I'm trying to say. My understanding of physics is pretty elementary so I apologize if this is a stupid question.

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• ###### diagram.pdf
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Last edited: Aug 7, 2010
2. Aug 7, 2010

### Trexman89

Work is equal to a force applied over a net distance (aka displacement) . Net distance is the difference between your starting and ending point. So if you push a box from point A to point B, and then push it back from point B to point A, no work will be done.

In your diagram, for part 1, it looks like the first box is being pushed to the right by a force pointed to the right, so positive work is being done on that box. The second box is being pushed to the left by a force pointed to the left, so the work being done on that box is also positive. It doesn't matter if the boxes are going in different directions, they are both being moved with positive work.

however, in your second part, it looks like you push the boxes back to their starting positions, so the overall work for the first and second part would be zero since the boxes don't have a change in displacement.

3. Aug 7, 2010

This is incorrect. Work is a force applied over a distance, NOT a force applied over a net distance or displacement. If your force is conservative then the difference is moot, but in the case of friction where the force is not conservative then the difference is very important.

4. Aug 7, 2010

### Curl

In your diagram both boxes are DOING work.

5. Aug 7, 2010

### CountFleet

I was wondering if it was mechanically possible to stop both boxes from doing work?