In astronomy, distances are often expressed in light-years. One light-year is the distance traveled by light in one year. If the distance to a star is 3.6 light-years, what is this distance in meters? (There are 365.25 days in one year.)

The distance of the star is meters

Explanation:

It is known that the speed of light has a value of in vacuum. That is, it travels in one second, according with the following equation:    

Where v is the speed, x is the distance and t is the time.

(1)

Equation 1 can be used to determine the distance that the light travels in 1 year:  

It is necessary to find how many seconds are in 1 year (365.25 days).

 ⇒  

Therefore, in 1 year, light travels meters.

If the distance to a star is 3.6 light-years, what is this distance in meters?  

A simple conversion between units can be used to get the distance in meters

⇒

Hence, the distance of the star is meters.              

double the distance = divide strength by 4