p38_004 - 4. (a) We find β from γ = 1/ 1 − β 2 : β=...

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Unformatted text preview: 4. (a) We find β from γ = 1/ 1 − β 2 : β= (b) Similarly, β = (c) In this case, β = 1− 1 = γ2 1− 1 = 0.140371 ≈ 0.140 . (1.01)2 1 − (10.0)−2 = 0.994987 ≈ 0.9950. 1 − (100)−2 = 0.999 950. (d) This last case might prove problematic for some calculators. The result is β = 1 − (1000)−2 = 0.999 999 50. The discussion in Sample Problem 38-7 dealing with large γ values may prove helpful for those whose calculators do not yield this answer. ...
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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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