It is estimated that light takes 10,000 years to travel the full distance across our galaxy. If light travels at [tex]3.0 \times 10^8 \, \text{m/s}[/tex], then what is the distance across the Milky Way? Give your answer in standard form.

In standard form and units of my choosing, the distance is 10,000 light-years.

Answered by AL2006 | 2024-06-10

Given: Time taken = 10,000 years Now, converting 10,000 years to seconds, We have, 1 year = 365 days = (365 * 24) hours = (365 * 24 * 60) minutes = (365 * 24 * 60 * 60) seconds = 31536000 seconds So, Time taken = 10,000 years = (10000 * 31536000 seconds) = 3.1536 ∗ 1 0 11 seco n d s Also, according to the question, speed = 3.0 ∗ 1 0 8 m
We know, speed = distance / time taken speed * time taken = distance ( 3.0 ∗ 1 0 8 ) ∗ 3.1536 ∗ 1 0 11 = d i s t an ce 9.4608 ∗ 1 0 19 = d i s t an ce
So, the distance across the milky way is [tex]9.4608 10^{19}[/tex] meters. *

Answered by rabinshrestha41 | 2024-06-10

The distance across the Milky Way galaxy is approximately 100 , 000 light-years, which can also be expressed in standard form as 1.0 × 1 0 5 light-years. This calculation is based on the speed of light and the time it takes light to travel across the galaxy. The distance in meters is around 9.4607 × 1 0 21 meters.
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Answered by AL2006 | 2024-09-30