Question

Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 10 7 2.54×107 light-years from Earth. If the lifetime of a human is taken to be 80.0 80.0 years, a spaceship would need to achieve some minimum speed v min vmin to deliver a living human being to this galaxy. How close to the speed of light would this minimum speed be? Express your answer as the difference between v min vmin and the speed of light c c .

Answer 1

The difference between v and the speed of light is 0.00149 m/s

Step-by-step explanation:

The time dilation is equal to:

`t=t_(o) \sqrt{1-(v^(2) )/(c^(2) ) } \\Replacing\\80=2.54x10^(7) \sqrt{1-(v^(2) )/(c^(2) ) }\\v=0.99999999999504*c`

The difference between v and the speed of light is equal:

c - v = 3x10⁸*(1-0.99999999999504) = 0.00149 m/s