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EdgyWaters
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Homework Statement
2-body, COM frame collision
a+b ---> c+d
E = Ea+Eb = Ec+Ed
Show that
dE/dPf = Vc+Vd
Show that the answer is the same when the velocities are relativistic
I don''t know how to work out the relativistic aspect of the question.
Homework Equations
The Attempt at a Solution
E = Pc^2/2Mc - Pd^2/2Md
(Pf^2)/2(I/Mc + I/Md) = (Pf^2)/2(Md+Mc/McMd)
dE/dPf = Pf(1/Mc+I/Md) = Vc + Vd