If astronauts could travel at v = 0.95 c,we on Earth would say it takes (4.2/0.95)= 4.4 years to reach Alpha Centauri,4.2 lightyears away.The astronauts disagree.How much time passes on the astronaut's clocks?
A)1.4 years
B)1.9 years
C)2.4 years
D)3.0 years

Question

Quizplus · Accepted Answer

Explanation:The time dilation equation is:t' = t / γwhere t' is the time measured by the observer in the moving frame, t is the time measured by the observer in the stationary frame, and γ is the Lorentz factor:γ = 1 / sqrt(1 - v^2/c^2)Plugging in the given values, we get:γ = 1 / sqrt(1 - 0.95^2) = 3t' = 4.4 years / 3 = 1.4 yearsTherefore, the astronauts would measure 1.4 years of time passing on their clocks.

If Astronauts Could Travel at V = 0