Momentum to Energy Conversion: Learn How it is Done

In summary, the conversation discusses the conversion of momentum to energy in accelerator physics. The relation between momentum, energy, and mass is mentioned, and it is stated that all three have units of energy. The question of whether to simply multiply momentum by c is brought up, with the justification being that pc should be equal to the momentum multiplied by c.
  • #1
goodphy
216
8
Hello.

I'm reading some accelerator physics paper showing the momentum unit for the accelerated particles as MeV/c.

I'm not interested in the momentum but energy thus I really want to convert this to energy.

How it is done? Simply multiplying c? if so, there must be some reason for justify the action.

Please help me to go further.
 
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  • #2
Momentum, energy, and mass are related by ##m^2 c^2=E^2/c^2-p^2##
 
  • #3
Or, the way I like to remember it: ##E^2 = (pc)^2 + (mc^2)^2##.

E, pc and mc2 all have units of energy (MeV or joules or whatever)
 
  • #4
Oh thanks people!

Thus..since momentum in the paper is, for example, 0.79 MeV/c so pc should be simply the momentum multiplied by c, 0.79 MeV right?
 
  • #5
Right.
 

FAQ: Momentum to Energy Conversion: Learn How it is Done

What is momentum to energy conversion?

Momentum to energy conversion is the process by which an object's momentum is transferred into energy.

How is momentum converted into energy?

Momentum can be converted into energy through various means, such as collisions, explosions, and chemical reactions.

What is the formula for momentum to energy conversion?

The formula for momentum to energy conversion is E = (1/2)mv^2, where E represents energy, m represents mass, and v represents velocity.

What are some examples of momentum to energy conversion?

Some examples of momentum to energy conversion include a baseball being hit by a bat, a rocket launching into space, and a car crash.

Why is momentum to energy conversion important?

Momentum to energy conversion is important because it helps us understand how energy is transferred and conserved in various physical processes. It also has practical applications, such as in designing safer vehicles and understanding the behavior of particles in collisions.

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