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Degger [83]
3 years ago
9

Our Milky Way galaxy is 100,000 ly in diameter. A spaceship crossing the galaxy measures the galaxy's diameter to be a mere 1 ly

. What is the speed of the spaceship relative to the galaxy? and How long is the crossing time as measured in the galaxy's reference frame?
Physics
1 answer:
krek1111 [17]3 years ago
3 0

Answer:

t= 100000.000005 years

Explanation:

Our Milky Way galaxy is 100,000 ly in diameter.

the galaxy's diameter to be a mere 1 ly.

We know that

L=L_0\sqrt{1-\frac{v^2}{c^2} }

L= 1 ly

L_0= 100,000 ly

1=100,000\sqrt{1-\frac{v^2}{c^2} }

v= 0.99999999995 c

so time t= \frac{d}{v} = \frac{100000c}{0.99999999995c}

t= 100000.000005 years

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