(a) Compute the four-velocity components in O of a particle whose speed in O is v in the positive x direction, by using the Lorentz transformation from the rest frame of the particle. (b) Generalize this result to find the four-velocity components when the particle has arbitrary velocity v, with |v| < 1. (c) Use your result in (b) to express v in terms of the components {Uª}. (d) Find the three-velocity v of a particle whose four-velocity components are (2, 1, 1, 1).
(a) Compute the four-velocity components in O of a particle whose speed in O is v in the positive x direction, by using the Lorentz transformation from the rest frame of the particle. (b) Generalize this result to find the four-velocity components when the particle has arbitrary velocity v, with |v| < 1. (c) Use your result in (b) to express v in terms of the components {Uª}. (d) Find the three-velocity v of a particle whose four-velocity components are (2, 1, 1, 1).
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Solve a and b please
Transcribed Image Text:15 (a) Compute the four-velocity components in O of a particle whose speed in O is v in
the positive x direction, by using the Lorentz transformation from the rest frame of
the particle.
(b) Generalize this result to find the four-velocity components when the particle has
arbitrary velocity v, with |v| < 1.
(c) Use your result in (b) to express v in terms of the components {Uª}.
(d) Find the three-velocity v of a particle whose four-velocity components are (2, 1,
1, 1).
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