p38_057 - 57(a We compute = 1 1(0.9990)2 = 22.4 Now the...

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57. (a) We compute γ = 1 p 1 (0 . 9990) 2 =22 . 4 Now, the length contraction formula (Eq. 38-13) yields L = 2 . 50 m γ =0 . 112 m . (b) (c) and (d) We assume our spacetime coordinate origins coincide and use the Lorentz transforma- tions (Eq. 38-20, but with primes and non-primes swapped, and v →− v ). Lengths are in meters and time is in nanoseconds (so that c =0 . 2998 in these units). x α = γ (4 . 0+(0 . 9990 c )(40)) = 357 t
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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