A car is traveling along the 45o line in S (Fig. 12.25), at (ordinary) speed (2/??5)c. (a)
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A car is traveling along the 45o line in S (Fig. 12.25), at (ordinary) speed (2/??5)c.
(a) Find the components ux and uy of the (ordinary) velocity.
(b) Find the components ηx and ηy of the proper velocity.
(c) Find the zeroth component of the 4-velocity, η0. System S is moving in the x direction with (ordinary) speed ??2/5c, relative to S. By using the appropriate transformation laws:
(d) Find the (ordinary) velocity components ux and uy in ,S.
(e) Find the proper velocity components ηx and ηy in S.
(f) As a consistency check, verify that η = u/??1 ?? u2/c2.
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a Uz Uy u cos 45 2 b 11 145 45 5 n c n y...View the full answer
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