Quote:
Raapys said:
But the work formula doesn't cut it. It doesn't even take into account that the force being applied could have ripped apart atomic bindings and the likes even if the object wasn't actually moved.
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Perhaps because you can't "rip apart atomic bindings" by pulling on a rope? No amount of force you can apply will overcome the strong nuclear force... Though if you are talking about inter-molecular bonds, those can certainly be broken in the process of applying (thermodynamic) work. But you seem to be thinking of mechanical work...
When you are talking about work, it makes a huge difference which type of work you are talking about. "Work" is a horribly generic word that can mean many different things.
If an object does not move, no mechanical work was done. Mechanical work is purely a derived property of force applied and distance moved. W = F * D is entirely correct, in the mechanical sense of work. Mechanical work does not take heat or other forms of energy transference into account; it only deals with force applied and distance moved.
In the thermodynamic sense of work, you can do work without moving an object. Thermodynamic work is a generalization of the mechanical concept of work; it is a quantity of energy transfered from one system to another. It includes the microscopic thermal motion of particles (aka heat), as well as macroscopic changes to the system (movement, fluid expansion, chemically charging a battery, etc.).
Lets say you decide to push on a wall, which is sturdy enough to resist all of your efforts. Was work performed? No, and yes.
In the mechanical sense, no work was done. The wall was not moved, regardless of how much force you applied. F * 0 is 0.
In the thermodynamic sense, yes, work was done. Your muscles contracted, which required burning up stored carbohydrates and such. This generated heat, which dissipated into your body, the surrounding environment, and perhaps a bit into the wall itself. The force applied on the wall by your hands pushed the wall's molecules ever so slightly inward; this is essentially imparting some kinetic energy from your hands' molecules to the wall's molecules, which in turn is rapidly converted into potential energy. The resulting electromagnetic forces pushed back, resisting any overall change to the structure or location of the wall. In the end, there winds up being no kinetic energy in the wall (when looking holistically at the wall itself). Friction at work (yet another meaning of work... bloody English

). Hopefully I didn't miss anything there, but you get the idea.
The same exact analysis applies to two people pulling on a rope (without breaking it), save that now you have heat dissipation from 2 people and tension at play. You have lots of thermodynamic work going on, but no mechanical work at all (at least, until the rope breaks).