Choice of reference frame in conservation of momentum/energy problems

Click For Summary
SUMMARY

In conservation of momentum and energy problems, selecting the appropriate reference frame is crucial for simplifying calculations. The discussion emphasizes using an inertial reference frame, particularly one that is stationary to the center of mass (CM) when no external forces are present. This approach streamlines the analysis of collisions, allowing for straightforward calculations of pre- and post-collision velocities based on momentum and the coefficient of restitution. For instance, in collision scenarios, using the CM frame yields velocities of +p/m1 and -p/m2 before impact, and -ep/m1 and +ep/m2 after impact, significantly reducing complexity.

PREREQUISITES
  • Understanding of Newtonian mechanics
  • Familiarity with the concept of inertial reference frames
  • Knowledge of momentum and energy conservation principles
  • Basic grasp of collision dynamics and coefficients of restitution
NEXT STEPS
  • Study the application of inertial reference frames in various physics problems
  • Explore detailed examples of momentum conservation in collision scenarios
  • Learn about the implications of external forces on reference frame selection
  • Investigate advanced topics in collision dynamics, including elastic and inelastic collisions
USEFUL FOR

Students and educators in physics, particularly those focusing on mechanics, as well as anyone involved in solving problems related to momentum and energy conservation in various reference frames.

sodaboy7
Messages
81
Reaction score
0
Problems related to conservation of momentum/energy can be solved by taking reference frame which is stationary to center of mass or which is stationary to ground/observer. So when to use what frame or which frame is beneficial in which case/type of problems? I m confused !:confused:
 
Physics news on Phys.org
If you are talking about Newtonian mechanics, you can use any inertial reference frame you like.

If there are no external forces acting on the system, the CM moves with constant velocity, so you can use an inertial frame where the CM is stationary. For example in simple collision problems this is very nice, because the velocities of two approaching objects must be +p/m1 and -p/m2 where p is the momentum of one of the objects, and for a collision with a coefficient of restitution e, the velocities after impact are -ep/m1 and +ep/m2.

That is much simpler than working in a different reference frame.
 

Similar threads

  • · Replies 88 ·
3
Replies
88
Views
4K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K