A mass m travels at speed 3c/5, and another mass m sits at rest. a) Find the ene

Question

A mass m travels at speed 3c/5, and another mass m sits at rest.

a) Find the energy and momentum of the two particles in the lab frame.

b) Find the speed of the CM of the system, BY USING A VELOCITY-ADDITION ARGUMENT.

c) Find the energy and momentum of the two particles in the CM frame, WITHOUT USING THE LORENTZ TRANSFORMATIONS,

d) Verify that the E's and p's are related by the relevant Lorentz

transformations.

(e) Verify that E^2 - p^2c^2 for each mass is the same in both frames.

Likewise for E(total)^2- p(total)^2c^2.

Explanation / Answer

refer this pdf you must got your solution it is too lengthy for 600 points

https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&ved=0CCcQFjAA&url=http%3A%2F%2Fwww.personal.kent.edu%2F~fwilliam%2FChapter%252011%2520Relativity%2520(Dynamics).pdf&ei=a1QXU4T1DsyBrQeMoYCACg&usg=AFQjCNGsSmwaeohtFMWNEz-lM0948oHcgw&bvm=bv.62286460,d.bmk

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