If astronauts could travel at 0.796 to Alpha Centauri, 3.11 ltyr away, we on Ear

Question

If astronauts could travel at 0.796 to Alpha Centauri, 3.11 ltyr away, we on Earth would say it takes t=3.11 lt yr/0.796=3.90704years to reach Alpha Centauri. The astronauts disagree. a) How much time passes on the astronauts' clocks? Answer inunits of y. b) What distance to Alpha Centauri do the astronauts measure?Answer in units of lt yr. If astronauts could travel at 0.796 to Alpha Centauri, 3.11 ltyr away, we on Earth would say it takes t=3.11 lt yr/0.796=3.90704years to reach Alpha Centauri. The astronauts disagree. a) How much time passes on the astronauts' clocks? Answer inunits of y. b) What distance to Alpha Centauri do the astronauts measure?Answer in units of lt yr.

Explanation / Answer

a) =1/(1-c^2) =1.652 time=3.90704 yrs / 1.625 = 2.365 yrs b)

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