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Contact [7]
3 years ago
7

calculate the time (in years) it would take to send a message to the Galactic Capitol located at the center of our Milky Way gal

axy and then receive the reply. We live about 2.5x10^20 meters away from the Galaxy center. Assume the message leaves the Earth and travels at the speed of light and that they take 1 year to decide what to answer..
Physics
1 answer:
Alinara [238K]3 years ago
7 0

Answer:

The total time is \bf{52850~Yr}.

Explanation:

Given:

The distance between Galactic Capitol and Earth is, d = 2.5 \times 10^{20}~m

The speed of light is, c = 3 \times 10^{8}~m/s

The time taken by the message to reach and come back to Earth is given by

t &=& \dfrac{2d}{c}\\~~&=& \dfrac{2(2.5 \times 10^{20}~m)}{3 \times 10^{8}~m/s}\\~~&=& 1.6 \times 10^{12}~s\\~~&=& \dfrac{1.6 \times 10^{12}~s}{(86400 \times 365)~s}~Yr\\~~&\approx& 52849~Yr

In addition they take 1 year to decide to reply.

Thus, the total time is 25850~Yr.

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