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QuestionHow many years does light take to travel 3.65×1083.65 \times 10^{8} miles if a light year is 5.87×10125.87 \times 10^{12} miles?

Studdy Solution

STEP 1

Assumptions1. The distance light travels in one year (a light year) is 5.87×10125.87 \times10^{12} miles. The closest distance from Earth to Jupiter is 3.65×1083.65 \times10^{8} miles3. Light travels at a constant speed, covering the distance of a light year in one year

STEP 2

First, we need to find the number of years it will take light to travel from Earth to Jupiter. We can do this by dividing the distance from Earth to Jupiter by the distance light travels in one year.
Years=Distance from Earth to JupiterDistance light travels in one yearYears = \frac{Distance\, from\, Earth\, to\, Jupiter}{Distance\, light\, travels\, in\, one\, year}

STEP 3

Now, plug in the given values for the distance from Earth to Jupiter and the distance light travels in one year to calculate the years.
Years=3.65×1085.87×1012Years = \frac{3.65 \times10^{8}}{5.87 \times10^{12}}

STEP 4

Perform the division to calculate the number of years.
Years=3.65×108.87×1012≈6.22×10−Years = \frac{3.65 \times10^{8}}{.87 \times10^{12}} \approx6.22 \times10^{-}So, it will take approximately 6.22×10−6.22 \times10^{-} years for light to travel from Earth to Jupiter at the closest distance.

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