one light year is about 9 trillion kilometers . arctus is a star that is 37 light years from earth.if you are 11 years old now,how old will you be when light that is leaving arcturus today reaches earth. how far in kilometers willit have traveled .sow your work.
If you are 11, you will be 37 years older (year = year).
9 trillion * 37 = ?
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To find out how old you will be when the light from Arcturus reaches Earth, we need to convert the distance from light years to kilometers and then calculate the time it takes for light to travel that distance.
Given:
- 1 light year = 9 trillion kilometers
- Distance from Arcturus to Earth = 37 light years
First, we calculate the distance in kilometers:
Distance from Arcturus to Earth = 37 light years * 9 trillion kilometers/year
Distance from Arcturus to Earth = 333 trillion kilometers
Next, we need to find out the time it takes for light to travel this distance. Since the speed of light is approximately 299,792 kilometers per second, we can use this value:
Time for light to travel = Distance / Speed of light
Time for light to travel = 333 trillion kilometers / 299,792 kilometers/second
Now we have the time it takes for light from Arcturus to reach Earth. To find out how old you will be when this happens, we need to calculate the time difference between now and the time it takes for light to travel:
Your age when light reaches Earth = Your current age + Time for light to travel
Therefore, you will be 11 years old plus the time it takes for light to travel from Arcturus.
To find the distance in kilometers:
Distance from Arcturus to Earth = 37 light years * 9 trillion kilometers/year
Therefore, the light from Arcturus will have traveled approximately 333 trillion kilometers by the time it reaches Earth.
Hope this explanation helps!