Question

You travel to a star 195 light-years from Earth at a speed of 2.90*10^8m/s . What...

You travel to a star 195 light-years from Earth at a speed of 2.90*10^8m/s .

What do you measure this distance to be? units ly

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Answer #1

L=195 x sqr root(1-(v^2/c^2))

=195 x sqr root(1-((2.9)^2/3^2))

=49.93 ly

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Answer #2

similar problem

If you were to travel to a star 97 light-years from Earth at a speed of 2.30x10^8 m/s, what would you measure this distance to be? - (ly)

A.

Gamma (2.3e8 m/s) = 1.559
If the distance in Earth's reference frame is 97 ly, then the distance in ship's refrence frame is 97 ly / 1.559 = 62.219 ly.

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