Suppose an observer O measures a particle of mass m moving in the x direction to have speed v, energy E, and momentum p. Observer O', moving at speed u in the x direction, measures v', E', and p' for the same object.  (a) Use the Lorentz velocity transformation to find E' and p' in terms of m, u, and v.  (b) Reduce E'2-(p'c)2 to its simplest form and interpret the result.

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Suppose an observer O measures a particle of mass m moving in the x direction to have speed v, energy E, and momentum p. Observer O', moving at speed u in the x direction, measures v', E', and p' for the same object. 

(a) Use the Lorentz velocity transformation to find E' and p' in terms of m, u, and v

(b) Reduce E'2-(p'c)2 to its simplest form and interpret the result.

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