Conservation of energy predict invariance of elastic collisions?

In summary, the conservation of energy principle does not explicitly address different inertial reference frames, but it is an overarching principle in physics that the laws of physics should be valid in all frames of reference. In Newtonian mechanics, the combination of conservation of energy and frame-independence leads to conservation of momentum. In relativity, things become more complicated, with special relativity having conservation of energy and general relativity only having it in certain cases.
  • #1
wumple
60
0
If one observer in an inertial reference measures a collision to be elastic, then all observers in an inertial reference frame will measure the collision to be elastic - can this be explained with the conservation of energy? What exactly does the conservation of energy principle say in regards to different inertial reference frames?
 
Physics news on Phys.org
  • #2
wumple said:
If one observer in an inertial reference measures a collision to be elastic, then all observers in an inertial reference frame will measure the collision to be elastic - can this be explained with the conservation of energy? What exactly does the conservation of energy principle say in regards to different inertial reference frames?

The law of conservation of energy doesn't explicitly say anything about different frames of reference. However, we have an overarching principle in all of physics that the laws of physics are supposed to be valid regardless of the frame of reference.

In Newtonian mechanics, which operates according to Galilean relativity, the valid frames of reference are Newtonian inertial frames. In this context, if you combine conservation of energy with frame-independence, you end up requiring conservation of momentum: http://www.lightandmatter.com/html_books/0sn/ch03/ch03.html#Section3.1

In relativity, things become more complicated. Special relativity has conservation of energy, but general relativity doesn't, except locally or in special cases.
 
Last edited by a moderator:
  • #3
wumple said:
If one observer in an inertial reference measures a collision to be elastic, then all observers in an inertial reference frame will measure the collision to be elastic - can this be explained with the conservation of energy? What exactly does the conservation of energy principle say in regards to different inertial reference frames?

Look up the attachment "Collision.pdf" https://www.physicsforums.com/blog.php?b=1857
 
Last edited by a moderator:

1. What is the conservation of energy?

The conservation of energy is a fundamental law in physics that states that energy cannot be created or destroyed, but can only be transformed from one form to another.

2. How does conservation of energy apply to elastic collisions?

In elastic collisions, the total kinetic energy of the system remains constant. This means that the energy before the collision is equal to the energy after the collision, demonstrating the principle of conservation of energy.

3. Why does the conservation of energy predict invariance of elastic collisions?

The conservation of energy predicts the invariance of elastic collisions because it states that the total energy of a system must remain constant. Therefore, in an elastic collision where no energy is lost, the total energy before and after the collision must be the same.

4. How is momentum related to the conservation of energy in elastic collisions?

In elastic collisions, both momentum and kinetic energy are conserved. This means that the total momentum before the collision is equal to the total momentum after the collision, and the total kinetic energy before the collision is equal to the total kinetic energy after the collision.

5. Are all collisions in real life perfectly elastic and follow the conservation of energy?

No, not all collisions in real life are perfectly elastic and follow the conservation of energy. In real life, there is always some energy lost due to factors like friction and air resistance. However, in elastic collisions, the energy loss is negligible and the conservation of energy still applies.

Similar threads

  • Special and General Relativity
2
Replies
67
Views
4K
  • Special and General Relativity
Replies
12
Views
580
  • Special and General Relativity
Replies
4
Views
857
  • Special and General Relativity
Replies
11
Views
1K
  • Special and General Relativity
Replies
20
Views
2K
  • Special and General Relativity
Replies
17
Views
1K
  • Introductory Physics Homework Help
Replies
21
Views
1K
  • Special and General Relativity
Replies
6
Views
847
Replies
5
Views
853
  • Mechanics
Replies
4
Views
720
Back
Top