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musicmar
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Homework Statement
Combine Eqs. 4.4 and 4.5 to derive Eq. 4.22
Homework Equations
4.4: p= m u/ (sqrt(1-(u2/c2)))
4.5: E= m c2/ (sqrt(1-(u2/c2)))
4.22: E2-(pc)2= (mc2)2
The Attempt at a Solution
(sqrt(1-(u2/c2))) = mu/p
(sqrt(1-(u2/c2))) = mc2/E
1 - u2/c2 = m2u2/p2
1 - u2/c2 = m2c4/E2
u2/c2=1-m2u2/p2
u2/c2=1-m2c4/E2
Now combining:
1 - m2u2/p2 =
1 -m2c4/E2
m2u2E2=m2c4p4
Clearly, this is not Eq. 4.22 above. So, I either made a small mistake somewhere or missed a larger concept.
Thank you.