How to Calculate the Initial energy of two protons colliding

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Homework Help Overview

The discussion revolves around calculating the initial kinetic energy of two protons colliding head-on, resulting in the production of a Pi0 particle. The context involves particle physics and energy conservation principles.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the total energy of the system and the kinetic energy of the protons, questioning the necessity of including the mass of the Pi0 particle in the calculations. There is an emphasis on understanding the role of kinetic energy in the context of moving particles.

Discussion Status

Some participants have provided hints regarding the use of rest mass values to simplify calculations. There is ongoing exploration of the implications of kinetic energy in the total energy equation, with requests for further clarification on certain points.

Contextual Notes

Participants are navigating the complexities of energy calculations in particle collisions, with specific reference to the rest mass of protons and the produced Pi0 particle. There is an indication of potential confusion regarding the application of these concepts in the problem setup.

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Homework Statement



Tow protons of equal energy collide head on and the result is

p+p -----> p+p+ Pi0

If all particles produced at rest what must be the KE of the initial protons



Homework Equations



mass of Pi0 = 135MeV/c2

The Attempt at a Solution



Total energy of the system, E= mc2

Mass of proton = 1.6726 *10-27 Kg

Hence initial energy = 2* 1.6726*10-27*2.99*108*2.99*108

But in this case why do I need the mass of Pi 0...I guess I am terribly worng pls help
 
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The initial energy isn't just the sum of the rest energies because the protons are moving.

What about after the collision?

Hint: Use the 938 MeV/c2 for the mass of the proton. It'll make the calculations simpler — no unit conversions needed.
 
vela said:
The initial energy isn't just the sum of the rest energies because the protons are moving.

What about after the collision?

Hint: Use the 938 MeV/c2 for the mass of the proton. It'll make the calculations simpler — no unit conversions needed.

I didnt get you...could you may be explain a bit more
 
The total energy of a particle is equal to E=mc2+K, where K is the kinetic energy and m is the rest mass.
 

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