Momentum in special relativity problem

AI Thread Summary
To find the momentum of a moving particle in special relativity, the energy-momentum relationship, E² = m²c⁴ + p²c², is essential. The kinetic energy is expressed as K = (γ - 1)mc², and total energy as E = γmc². The discussion revolves around clarifying the correct approach to solve the problem presented in the image, particularly in relation to the center-of-mass context. There is a focus on understanding what constitutes the "right way" to approach the problem and addressing potential misunderstandings. Overall, the conversation emphasizes the importance of correctly applying relativistic equations to determine momentum.
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Homework Statement


Hi there.

I added a question as an image, what is the right way to find the momentum?

Homework Equations





The Attempt at a Solution

 

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what is the right way to find the momentum?
You use the energy-momentum relationship.

##E^2 = m^2c^4 + p^2c^2##

The kinetc energy is ##K=(\gamma -1)mc^2## and ##E=\gamma mc^2##
 
Im aware of that. However could you please address the question in the picture? Which way is wrong, and why?
 
I was[/] addressing the pic.
The pic includes the question "What is the momentum of the moving particle?"
You wanted to know the right way to go about it - I told you.

It seems I misunderstood.
Define "right way". (What makes you think there is a wrong way in there?)
The pic shows you how to solve for two contexts in relation to the center-of-mass.
 
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