Question

Voyager is about 141 AU from earth. What is Voyager’s distance from earth in light years?

Answer 1

1 AU = it is defined as distance of Earth from Sun

it is also known as solar distance

So here we know that distance of Earth and Sun is

`1 AU = 1.5 * 10^(11) meter`

1 Light Year = It is defined as the distance covered by light in 1 year of time

it is calculated by simple product of speed * time

`1 Ly = c*t`

`c = 3* 10^8 m/s` = speed of light

`t = 1 year = 365 * 24 * 3600 s`

`t = 3.15 * 10^7 s`

now we can find the value of 1 Ly

`1 Ly = 9.46 * 10^(15) m`

now Voyager distance is given as

`d = 141 AU`

now in order to convert it into Ly we can say

`d = 141 * 1.5 * 10^(11) = 2.115 * 10^(13) m`

now we have

`d = (2.115 * 10^(13))/(9.46 * 10^(15))`

`d = 2.24 * 10^(-3) Ly`

so the distance in light year must be 0.00224 Light years