Alkatran
Science Advisor
Homework Helper
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beatrix kiddo said:hey when i solved for p i got this:
p^2=E^2-mo^2c^4/c^2.. it's prob not right because it makes the answer imaginary (?)
An equation is only equal if you can take both sides and reduce them to 0.
yours now:
p^2=E^2-m^2c^4/c^2
0=E^2-m^2c^4/c^2-p^2
0=E^2-m^2c^2-p^2
original:
E^2 = m^2*c^4 + p^2*c^2
E^2 - m^2*c^4 - p^2*c^2 = 0
combine:
E^2 - m^2*c^4 - p^2*c^2 = E^2-m^2c^2-p^2
eliminate
E^2 - m^2*c^4 - p^2*c^2 = E^2-m^2-p^2
-m^2*c^4 - p^2*c^2 = -m^2-p^2
Multiply by -1 to remove minuses.
m^2*c^4 + p^2*c^2 = m^2+p^2
m^2(c^4-1) + p^2(c^2-1) = 0
As you can see, c has to equal one, or m and p have to have some odd values for this to work.
Also, is E^2 = m^2*c^4 + p^2*c^2 the actual equation, or is it E = m*c^2 + p*c? (I've never actually seen the equation before, and can't find any results on it)
