The Milky Way galaxy is a part of a group of galaxies called the Local Group. The proper distance from the Milky Way, on one side of the Local Group, to the M31 galaxy on the other side is approximately 2.4 × 106 light-years. How long (in years) would it take a spaceship traveling at 0.999c to travel this distance according to travelers onboard?
Thank you for the opportunity to help you with your question! the solution is as such:
1 light year = 9.4605284 × 1015 meters
so, total distance D= 2.4 × 106 * 9.4605284 × 1015 meters
v= 0.999c where c= 3 × 108 meters per sec
now time = D/ v
so we get, time t= 7.5684 × 1013 seconds
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