Understanding the Equation E=mc^2 and Its Applications

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Homework Statement


see attached question


Homework Equations





The Attempt at a Solution



I chose A but this is wrong :S - why?

The answer is C but I cannot see why B/D are wrong.
I literally guess A as this was the only time I had used the fomula
 

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A is wrong because, for example, a proton can have kinetic energy separate from its rest-mass energy.
 
Steely Dan said:
A is wrong because, for example, a proton can have kinetic energy separate from its rest-mass energy.

so why is C correct and B/D wrong?
 
jsmith613 said:
so why is C correct and B/D wrong?
First of all, I think A is wrong because there is no change in mass. B is wrong because you cannot determine the original mass of coal from just the rest mass of a proton and rest mass of an electron. You would have to have other information. Similarly with D you would cannot determine the energy from the rest masses of a proton or electron. You would have to know how fast the protons were moving before collision.

AM