Does Thermal Energy Have Momentum?

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SUMMARY

Thermal energy does not possess momentum; rather, it is a form of energy distinct from momentum. When objects slide across a frictional surface, momentum is conserved, but the thermal energy generated from friction does not contribute to the overall momentum of the system. The random microscopic momenta of particles in a heated object cancel each other out, resulting in a net momentum of zero. Although thermal energy can increase due to collisions, it does not imply that momentum is transferred to thermal energy.

PREREQUISITES
  • Understanding of classical mechanics principles, particularly momentum and energy conservation
  • Familiarity with the concepts of thermal energy and kinetic energy
  • Knowledge of the relationship between mass, velocity, and momentum
  • Basic grasp of statistical mechanics and particle motion
NEXT STEPS
  • Study the principles of momentum conservation in closed systems
  • Explore the relationship between thermal energy and kinetic energy in detail
  • Investigate the effects of friction on momentum transfer in mechanical systems
  • Learn about statistical mechanics and how it relates to particle motion and energy distribution
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Students of physics, educators teaching classical mechanics, and anyone interested in the fundamental principles of energy and momentum in physical systems.

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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