Opposite Direction/Opposing Forces

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Two objects cannot travel in opposite directions without performing work if they are subject to opposing forces. The discussion highlights that any force acting on a moving body results in work being done, even if the forces oppose each other. The concept of using opposing forces to achieve motion without work is deemed impossible, as both forces would perform negative work, leading to energy loss in closed systems. The notion of free energy is mentioned but ultimately dismissed as unfeasible in this context. Overall, the consensus is that work is an inherent aspect of any force acting on a moving object.
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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.
 

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

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