Mass to energy equivalence question

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Homework Help Overview

The discussion revolves around a problem related to mass-energy equivalence, specifically determining the mass equivalent of 17.6 MeV of energy resulting from a fusion reaction.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between mass and energy using the equation E=mc², with some questioning the origin of the value 931.5 MeV and its relevance to the problem. There is discussion about the clarity of the original poster's solution attempt and the proper use of units.

Discussion Status

The conversation is ongoing, with participants providing insights into the significance of the 931.5 MeV value and discussing the appropriateness of using E=mc² in this context. There is recognition of the need for clearer explanations and proper unit handling, but no consensus has been reached.

Contextual Notes

Participants note that the original poster's explanation of their solution was unclear, and there is an emphasis on understanding the relationship between energy and mass in the context of atomic mass units (amu).

eXmag
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Homework Statement



An unknown amount of mass lost from a fusion reaction is converted to energy. Determine the amount of mass equal to 17.6 MeV of energy.

Homework Equations



E=mc2?

The Attempt at a Solution



17.6=m(931.5)
m=0.01889u
Not sure if this is correct
 
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eXmag said:

Homework Statement



An unknown amount of mass lost from a fusion reaction is converted to energy. Determine the amount of mass equal to 17.6 MeV of energy.

Homework Equations



E=mc2?

The Attempt at a Solution



17.6=m(931.5)
m=0.01889u
Not sure if this is correct

Where did "931.5" come from? √(931.5) = 30.52, I don't recognize this as being c ...
 
rude man said:
Where did "931.5" come from? √(931.5) = 30.52, I don't recognize this as being c ...

931.5 MeV is the rest energy of 1 amu of mass. The 'attempt at a solution' wasn't very well explained. To say the least.
 
Last edited:
Dick said:
931.5 MeV is the rest energy of 1 amu of mass. The 'attempt at a solution' wasn't very well explained. To say the least.

Yeah, so looks like E = mc2 is irrelevant & we have just a ratio of energies and finding out how many gm to 1 a.m.u.?
 
rude man said:
Yeah, so looks like E = mc2 is irrelevant & we have just a ratio of energies and finding out how many gm to 1 a.m.u.?

The easy way to solve it is to use 1amu*c^2=931.5 MeV (because you've memorized it) and solve it using ratios. That's how the OP got the right answer if u=amu. But the OP butchered the units and I know the OP doesn't know whether it's right or wrong. That's not good. Just using E=mc^2 and paying some attention to units would be much better. It would show understanding. It's hardly irrelevant. I was just pointing out where the 931.5 came from.
 
Last edited:

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