Center of mass oblique collisions

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SUMMARY

The statement "The scattering angle of the first particle in the laboratory frame is half of the scattering angle in the center of mass frame" is true only under specific conditions. This holds when the colliding masses are equal and the collisions are elastic. In oblique collisions, understanding the relationship between the center of mass (COM) frame and the laboratory frame is crucial for accurate predictions of scattering angles.

PREREQUISITES
  • Understanding of oblique collisions in physics
  • Familiarity with center of mass (COM) frame concepts
  • Knowledge of elastic collision principles
  • Basic proficiency in vector analysis
NEXT STEPS
  • Study the principles of elastic collisions in detail
  • Learn about the transformation between COM frame and laboratory frame
  • Explore examples of oblique collisions in physics literature
  • Investigate the mathematical derivation of scattering angles in different frames
USEFUL FOR

Physics students, educators, and researchers interested in collision dynamics and scattering theory will benefit from this discussion.

jophys
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Hi,

in terms of oblique collisions, COM frames and laboratory frames, is this statements ALWAYS true?

"The scattering angle of the first particle in the laboratory frame is half of the scattering angle in the center of mass frame."

Please elaborate if you know, thanks in advance!
 
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jophys said:
Hi,

in terms of oblique collisions, COM frames and laboratory frames, is this statements ALWAYS true?

"The scattering angle of the first particle in the laboratory frame is half of the scattering angle in the center of mass frame."

Please elaborate if you know, thanks in advance!
Hi Jophys - welcome to PF!

This is a special case. It would be true only if the colliding masses are equal and the collisions are elastic.

AM
 

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