Does Thermal Energy Have Momentum?

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Discussion Overview

The discussion revolves around the relationship between thermal energy and momentum, particularly whether thermal energy can be considered a form of momentum. Participants explore concepts related to momentum conservation in scenarios involving friction and collisions, as well as the implications of thermal energy at the microscopic level.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that thermal energy could be interpreted as a form of momentum, particularly in the context of sliding objects and friction.
  • Another participant asserts that momentum and energy are fundamentally different, emphasizing their distinct units of measurement.
  • A later reply questions whether thermal energy contains momentum in a similar way to kinetic energy.
  • Some participants note that the random microscopic momenta of particles in a heated object tend to cancel each other out, leading to a net momentum of zero.
  • There is a discussion about the conservation of momentum when an object slides across a frictional surface, with one participant proposing that momentum may be transferred to the Earth.
  • Another participant agrees that the Earth's mass is so large compared to the sliding object that any change in its velocity would be negligible.
  • One participant reflects on the idea that while the thermal agitation of molecules results in random motion, the overall momentum remains zero due to cancellations.

Areas of Agreement / Disagreement

Participants generally disagree on the interpretation of thermal energy as momentum, with some asserting that they are distinct concepts while others explore the nuances of their relationship. The discussion remains unresolved regarding the implications of thermal energy on momentum.

Contextual Notes

Participants express uncertainty about the definitions and relationships between thermal energy and momentum, particularly in the context of conservation laws and microscopic behavior of particles.

Nathanael
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Thermal energy is momentum right? Is this a correct interpretation:
If I slide an object across a frictional surface, the momentum will still be conserved, just not visibly (because it's now atomic momentum, called "thermal energy").

If yes, then, in all of these conservation of momentum problems I'm doing, why is it safe to assume that some of the momentum is not converted into thermal energy? If two objects collide, surely you would expect an increase in thermal energy?

Is it just that even large amounts of thermal energy have negligable momentum? Or is there another reason? Is thermal energy even momentum?
 
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No, momentum and energy are completely different things. Any kind of energy has units of "Joules= kg meters squared per second squared" and momentum has units of "kg meters per second".
 
HallsofIvy said:
No, momentum and energy are completely different things. Any kind of energy has units of "Joules= kg meters squared per second squared" and momentum has units of "kg meters per second".

Yes, sorry I was careless with my terminology.

But my question remains, does thermal energy "contain" momentum (in the sense that kinetic energy "contains" momentum)

Is momentum implied in thermal energy?
 
No. Energy and momentum are two different things. They are related in special relativity, in the way that time and space are related, but they aren't the same.

All the random microscopic momenta of the particles that make up a hot object cancel out. Maybe there is some total momentum of the center of mass, but we don't call this thermal energy.
 
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Khashishi said:
All the random microscopic momenta of the particles that make up a hot object cancel out.

Ah, I see. Good point, I didn't think about it that it would all cancel out.


But then what happens to the momentum of an object sliding across a frictional surface? If momentum is always conserved, then it must go somewhere?

Is it that the momentum is transferred to the momentum of the Earth?


That makes sense actually, because if you had a box in space and had something sliding across the ground of it (with friction) then you probably would expect the box to gain momentum as the object loses momentum.



Thank you, this was a good point:
Khashishi said:
All the random microscopic momenta of the particles that make up a hot object cancel out.
 
Nathanael said:
Is it that the momentum is transferred to the momentum of the Earth?

Yes, that's it. The mass of the Earth is so much larger than the mass of the object that it's impossible to observe the resulting change in the Earth's velocity.

Unless you have a really really really massive object, of course...
 
Nathanael said:
Thermal energy is momentum right? Is this a correct interpretation:
If I slide an object across a frictional surface, the momentum will still be conserved, just not visibly (because it's now atomic momentum, called "thermal energy").
The increased agitation of heated molecules being randomly orientated, it would seem that the nett momentum of a bunch of them remains steadfastly zero---with vibrations going in all directions the particles' momenta would be cancelling with each other, overall, and this regardless of the temperature. That would be my take on the momentum idea.

Now, the molecules' energy on the other hand ...
 

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