One light year is about 9 trillion kilometers. Arcturus is a star that is 37 light years from Earth. If you are about 11 years old now, how old will you be when light that is leaving Arcturus today reached Earth? How far, in kilometers, will it have traveled? please explain how to work this. Thanks.
48 yrs 333 trillion kl
To determine your age when the light from Arcturus reaches Earth, we need to calculate the time it takes for light to travel from Arcturus to Earth, and then add that time to your current age.
First, let's calculate the distance the light will travel from Arcturus to Earth. We know that one light year is approximately 9 trillion kilometers, and Arcturus is 37 light years away. So, the distance from Arcturus to Earth is:
Distance = 37 light years * 9 trillion kilometers/light year
Now, let's calculate the total distance:
Distance = 37 * 9 trillion kilometers
Next, let's determine the time it takes for light to travel this distance. The speed of light is roughly 300,000 kilometers per second. So, we can divide the total distance by the speed of light to get the time it takes:
Time = Distance / Speed of light
Now, let's plug in the values:
Time = (37 * 9 trillion kilometers) / (300,000 kilometers/second)
After calculating this, we will get the time it takes for light to travel from Arcturus to Earth.
Now, to find out your age when the light from Arcturus reaches Earth, simply add the calculated time to your current age of 11 years.
I hope this explanation helps!