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zzz [600]
3 years ago
12

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 spee

d 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
Physics
1 answer:
weeeeeb [17]3 years ago
7 0

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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