Opposite Direction/Opposing Forces

[CountFleet]

Is it possible for two objects to travel in opposite directions without any work if they have opposing forces? I attached a diagram to show what I am trying to say. The boxes in the diagram are moving from position 1 to position 2.

 

[zhermes]

Diagram doesn't help much.
Anytime there is force on a body that is moving, there is work.

 

[CountFleet]

This might be a better way to ask.

Is it possible for the two objects to use each others opposing forces to travel without any work(other than friction)?

 

[zhermes]

I still have basically no idea what you're talking about, except that it seems to be a free-energy something or other. I'm pretty sure the answer is no.

 

[Skrambles]

Work is a scalar, not a vector. Since the forces are opposing the direction of motion, they are both doing negative work. Both closed systems would be losing energy.

http://en.wikipedia.org/wiki/Conservative_force