contestada

Knowing the speed of light (3x10m/s), calculate how long a
light year is in meters! (using dimensional analysis)

Respuesta :

Answer:

9.5 x 10^15 meters per year

Explanation:

So, you have:

[tex]\frac{300,000,000}{1} \frac{meters}{second}[/tex]

We want the amount of meters light travels in one year. There are 3600 seconds in 1 hour, 24 hours in 1 day, and 365 days in a year. Using these conversion factors, we can set up some nice cancellations:

[tex]\frac{300,000,000}{1} \frac{meters}{second}\frac{3600}{1} \frac{seconds}{hour} \frac{24}{1} \frac{hours}{day} \frac{365}{1} \frac{days}{year}[/tex]

Seconds will cancel, hours will cancel, days will cancel. We have meters per year:

[tex]300,000,000*3600*24*365\frac{meters}{year} =9.5x10^{15}\frac{meters}{year}[/tex]