Ask questions, share knowledge, and connect with a vibrant community on IDNLearn.com. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.
The speed of the spaceship relative to the galaxy is 0.99999995c.
A light-year measures distance rather than time (as the name might imply). A light-year is a distance a light beam travels in one year on Earth, which is roughly 6 trillion miles (9.7 trillion kilometers). One light-year equals 5,878,625,370,000 miles. Light moves at a speed of 670,616,629 mph (1,079,252,849 km/h) in a vacuum.We multiply this speed by the number of hours in a year to calculate the distance of a light-year (8,766).
The Milky way galaxy is 100,000 light years in diameter.
The galaxy's diameter is a mere 1. 0 ly.
We know that ;
[tex]L = L_0 \sqrt{1-\frac{v^2}{c^2} }[/tex]
L = 1 light year
L₀ = 100,000 light year
[tex]1 = 100,000 \sqrt{1-\frac{v^2}{c^2} }[/tex]
[tex]1 = 100,000 \sqrt{1-\frac{v^2}{(3*10^8)^2} }[/tex]
[tex]\frac{1}{100,000} = \sqrt{1-\frac{v^2}{c^2} }[/tex]
[tex]v = 0.999999995[/tex] [tex]c[/tex]
Therefore, the speed of the spaceship relative to the galaxy is 0.99999995c.
Learn more about a light year here:
https://brainly.com/question/17423632
#SPJ4