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

$d = \frac{2.115 * 10^{13}}{9.46 * 10^{15}}$

$d = 2.24 * 10^{-3} Ly$

so the distance in light year must be 0.00224 Light years