Mass in MeV/c2 of a particle with a mass of 4.032u

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Homework Help Overview

The discussion revolves around converting the mass of a particle from atomic mass units (u) to MeV/c². The original poster presents a mass of 4.032u and seeks to understand how to express this mass in the energy equivalent unit of MeV/c².

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the conversion from atomic mass units to kilograms and then to energy in MeV. There are questions regarding the proper method for expressing mass in MeV/c² and the reasoning behind including the /c² in the final unit.

Discussion Status

Some participants have provided calculations and conversions, while others are questioning the rationale behind certain steps, particularly the inclusion of /c² in the final expression. The discussion is ongoing, with various interpretations being explored.

Contextual Notes

There is a focus on unit conversions and the relationship between mass and energy, with participants referencing the energy-mass equivalence principle. The original poster's inquiry indicates a need for clarity on unit representation in physics.

jsmith613
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Homework Statement


A particle has a mass of 4.032u. What is its mass in MeV/c2


Homework Equations





The Attempt at a Solution


4.032u = 4.032 * 1.66*10-27 = 6.69*10-27 kg
Energy equivalent, E = mc2: = (6.69*10-27)*(3*108)2 = 6.02 *10-10J

J→eV (divide by 1.6∗10-19) )=3.76∗109 eV=3760 MeV

How do I find it for MeV/c2
 
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1MeV/c^2 = 1e6*1.6e-19/9e16 kg = 1.7e-30 kg

so 1 = [1MeV/c^2]/1.7e-30 kg = 1.7e-30 kg/[1MeV/c^2]

multiply your answer, 6.69*10-27 kg, by the right factor above?
 
jsmith613 said:

Homework Statement


A particle has a mass of 4.032u. What is its mass in MeV/c2


Homework Equations





The Attempt at a Solution


4.032u = 4.032 * 1.66*10-27 = 6.69*10-27 kg
Energy equivalent, E = mc2: = (6.69*10-27)*(3*108)2 = 6.02 *10-10J

J→eV (divide by 1.6∗10-19) )=3.76∗109 eV=3760 MeV

How do I find it for MeV/c2
You tack on /c2 to the answer you found: 3760 MeV/c2.
 
vela said:
You tack on /c2 to the answer you found: 3760 MeV/c2.

why is this true?
 
E = mc2 ⇒ m = E/c2 = (3760 MeV)/c2. You just don't actually plug in a value for c. Instead you make it part of the units.
 

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