Light requires 4.5 years to travel from the nearest star to earth. If we could travel there in a spaceship going 90% of the speed of light,

Question

Light requires 4.5 years to travel from the nearest star to earth. If we could travel there in a spaceship going 90% of the speed of light, the trip would require 5.0 years according to clocks on earth. How much time would pass for the passengers in the ship

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Trung Dũng 3 months 2021-09-02T15:16:21+00:00 1 Answers 0 views 0

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    2021-09-02T15:17:23+00:00

    Answer:

    Time according to earth clock (T0) = 0.22 years (Approx)

    Explanation:

    Given:

    Time taken by light = 4.5 years

    Time taken by ship = 5 years

    Speed of light = c

    Speed of ship (v) = 90% of c = 0.9c

    Find:

    Time according to earth clock (T0) = ?

    Computation:

    Time dilation is ,

    T(Difference) = \frac{T0}{\sqrt{1-\frac{v^2}{c^2} } }\\\\ (5-4.5)= \frac{T0}{\sqrt{1-\frac{(0.9c)^2}{c^2} } }\\\\ 0.5=\frac{T0}{\sqrt{1-0.81} }\\\\T0 =0.2179

    Time according to earth clock (T0) = 0.22 years (Approx)

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