(a) How long does it take the astronaut as shown to travel 4.30 ly at 0.99944c (as measured by the Earthbound observer)? (b) How long does it take according to the astronaut? (c) Verify that these two times are related through time dilation with γ=30.00 as given. ΔtAlphaCentauriEarthLoLoAt(a)At,AlphaCentauri(b)Figure 28.11 (a) The Earth-bound observer measures the proper distance between the Earth and the Alpha Centauri. (b) The astronaut observesa length contraction, since the Earth and the Alpha Centauri move relative to her ship. She can travel this shorter distance in a smaller time (herproper time) without exceeding the speed of light.

Given information: Here, L0 is the distance between the Earth and the Alpha Centauri and v is the…

Answered: Δt Alpha Centauri Earth Lo Lo At (a)…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter28: Special Relativity

Section: Chapter Questions

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(a) How long does it take the astronaut as shown to travel 4.30 ly at 0.99944c (as measured by the Earthbound observer)? (b) How long does it take according to the astronaut? (c) Verify that these two times are related through time dilation with γ=30.00 as given.

Δt
Alpha
Centauri
Earth
Lo
Lo
At
(a)
At,
Alpha
Centauri
(b)
Figure 28.11 (a) The Earth-bound observer measures the proper distance between the Earth and the Alpha Centauri. (b) The astronaut observes
a length contraction, since the Earth and the Alpha Centauri move relative to her ship. She can travel this shorter distance in a smaller time (her
proper time) without exceeding the speed of light.

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