How Do You Calculate Kinetic Energy in Relativistic Collisions?

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SUMMARY

The discussion focuses on calculating the kinetic energy of a particle with mass ##m## colliding with a stationary particle of mass ##2m##, resulting in a composite mass of ##\sqrt{17}m##. The solution involves applying principles of mass-energy conservation and momentum conservation to derive the kinetic energy value of ##k=2mc^2##. The participant initially struggled with the calculations but ultimately resolved the problem with assistance from the forum.

PREREQUISITES
  • Understanding of relativistic mass-energy conservation
  • Familiarity with momentum conservation principles
  • Basic knowledge of kinetic energy equations in physics
  • Ability to manipulate algebraic expressions involving mass and energy
NEXT STEPS
  • Study the principles of relativistic collisions in detail
  • Learn about the derivation of kinetic energy in relativistic contexts
  • Explore examples of mass-energy conservation in particle physics
  • Review momentum conservation laws in elastic and inelastic collisions
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding relativistic collisions and kinetic energy calculations in advanced mechanics.

1bigman
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Homework Statement



We have a particle mass ##m## with kinetic energy ##k## colliding with a stationary particle of mass ##2m##. The collision creates a composite mass of ##\sqrt{17}m##. Find the value of ##k##

Homework Equations

The Attempt at a Solution



I have tried using mass-energy conservation and also momentum conservation, but I can't seem to get the required result of ##k=2mc^2##
 
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Please show your work. Simply generically describing what you tried unsuccessfully isn't helpful at all.
 
vela said:
Please show your work. Simply generically describing what you tried unsuccessfully isn't helpful at all.

My apologies. Fairly new round here... I've figured it out now, but many thanks anyways
 

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