Show that the velocity of the cm frame is given

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Reference no: EM131049862

(a) Use the results of Problem 15.69 to prove that for any number of material particles there exists a CM frame, that is, a frame in which the total three-momentum is zero. (b) Relative to an arbitrary frame 8, show that the velocity of the CM frame is given by β=.

Problem 15.69

(a) Show that the four-momentum of any material particle (m > 0) is forward time-like.

(b) Show that the sum of any two forward time-like vectors is itself forward time-like, and hence that the sum of any number of forward time-like vectors is its self forward time-like.

Reference no: EM131049862

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