A "light-year" is the distance light (speed = 2.998 multiplied by 108 m/s) travels in one year.?

Question

A "light-year" is the distance light (speed = 2.998 multiplied by 108 m/s) travels in one year.

How many meters are there in 19.0 light-years? Which is 1.7974 * 10^17

An astronomical unit (AU) is the average distance from the Sun to Earth, 1.50 multiplied by 108 km. How many AU are there in 19.0 light-year?

Which I am having trouble answering help!

Answer 1

2.998e8 m/s

There are 3.1558e7 seconds in a year.

(365.25 x 24 x 60 x 60)

so a LY is 2.998e8 m/s x 3.1558e7 sec = 9.4610e15 meters

for 19 LY, 9.4610e15  x 19 = 1.7976e17 meters

1AU = 1.50e8 km = 1.5e11 meters

19 LY = 1.7976e17 / 1.5e11 = 1.20e6 AU

check my arith.

.