The distance from earth to the center of our galaxy is about 27,000 ly (1 ly = 1 light year = 9.47 × 10^15 m), as measured by an earth-based observer. a spaceship is to make this journey at a speed of 0.9990c. according to a clock on board the spaceship, how long will it take to make the trip? express your answer in years. (1 yr is equal to 3.16 × 10^7 s.)

The time is 1206 years.

Explanation:

Given that,

Distance = 27000 ly

Speed = 0.9990c

We need to calculate the time

Using formula of speed

Put the value into the formula

We need to calculate the time dilation the clock on the spaceship

Using formula of dilation time

The time convert in years

We know that,

So, the time is

Hence, The time is 1206 years.

newton's first law of motion