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svlad2 [7]
3 years ago
8

1.

Physics
1 answer:
irga5000 [103]3 years ago
6 0

Answer:

Explanation:

solution is found below

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Answer:

Explanation:

a. The equation of Lorentz transformations is given by:

x = γ(x' + ut')

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x' = 0

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u =0.800 c,

c is the speed of light = 3×10⁸ m/s

Then,

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γ = 1 / √ (1 - 0.64)

γ = 1 / √0.36

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Therefore, x = γ(x' + ut')

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x = 1.67 × 4c

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Now, to find t we apply the same analysis:

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t = γ(t' + ux'/c²)

t = γ•t'

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t = 8.35 seconds

b. Mavis reads 5 s on her watch which is the proper time.

Stanley measured the events at a time interval longer than ∆to by γ,

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∆t = γ ∆to = (5/3)(5) = 25/3 = 8.3 sec which is the same as part (b)

c. According to Stanley,

dist = u ∆t = 0.8c (8.3) = 2 x 10^9 m

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