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Proxima Centauri is the closest star to Earth after the sun and it is 4×1013  km4×10 13   km away! We can calculate how long it takes light to travel from this star to earth by dividing its distance from earth by the speed that light travels, which is 1×109  km/hr1×10 9   km/hr.  Evaluate the expression below using index notation to determine how long it takes light from Proxima Centauri to reach Earth in hours. 4×10131×1091×10 9 4×10 13 ​  Remember to include units with your answer.

Question

Proxima Centauri is the closest star to Earth after the sun and it is 4×1013  km4×10 13   km away! We can calculate how long it takes light to travel from this star to earth by dividing its distance from earth by the speed that light travels, which is 1×109  km/hr1×10 9   km/hr.  Evaluate the expression below using index notation to determine how long it takes light from Proxima Centauri to reach Earth in hours. 4×10131×1091×10 9 4×10 13 ​  Remember to include units with your answer.

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Solution

To calculate the time it takes for light to travel from Proxima Centauri to Earth, we need to divide the distance from Proxima Centauri to Earth by the speed of light.

The distance from Proxima Centauri to Earth is given as 4×10^13 km and the speed of light is given as 1×10^9 km/hr.

So, the time it takes for light to travel from Proxima Centauri to Earth is:

4×10^13 km ÷ 1×10^9 km/hr = 4×10^4 hours

So, it takes approximately 40,000 hours for light to travel from Proxima Centauri to Earth.

This problem has been solved

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