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A spaceship travels at approximately 0. 25c with respect to earth. this means 24 hours at the spaceship will be x hours to us on earth. find the time passed ton earth

Sagot :

okpalawalter8

The time passed on earth is  mathematically given as

t' = 24.79 hrs

What is the time passed on earth?

Generally, the equation for is time  mathematically given as

[tex]t' = \gamma t[/tex]

Where

[tex]\gamma = Lorentz\ factor \\\\\gamma = 1/ \sqrt {(1 - v^2/c^2)}[/tex]

[tex]t' = t/ \sqrt {(1 - v^2/c^2)}[/tex]

Therefore

[tex]t' = 24/ \sqrt {(1 - (0.25c/c)^2) }[/tex]

[tex]t'= 24/ \sqrt {(1 - 0.25^2)[/tex]

t' = 24.79 hrs

In conclusion, the time passed on earth

t' = 24.79 hrs

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