Question 9d0af

Jun 7, 2017

$1$ $\text{parsec}$ is equal to $3.26156$ $\text{ly}$.

$1$ $\text{ly}$ is the time it takes light in vacuum to travel one year, and is equal to the product of the amount of seconds in one year ($365.25$ $\text{days} = 31557600$ $\text{s}$) and the speed of light in vaccum, $299792458 \text{m"/"s}$:

$1$ $\text{ly} = 31557600$ $\cancel{\text{s}}$ xx 299792458"m"/(cancel("s"))

$= 9 , 460 , 730 , 472 , 580 , 800$ $\text{m}$ (exactly)

Thus, ${10}^{8}$ $\text{ly}$ =

${10}^{8}$ cancel("ly")((9,460,730,472,580,800"m")/(1cancel("ly")))#

$= 946 , 073 , 047 , 258 , 080 , 000 , 000 , 000$ $\text{m}$