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One of the closest multiple-planet solar systems to our own is around the star Gliese 876, about 15 light-years away, and it contains four planets. One takes 63.8 Earth days to revolve, at a distance of 3.07 x 10^7 kilometers from Gliese 876. Another planet takes 130 Earth days to revolve. How far is this second planet from Gliese 876?

Respuesta :

ANSWER:

6.25 10^7 kilometers

STEP-BY-STEP EXPLANATION:

We can calculate the distance of the second planet since it is proportional to the distance of the first planet, according to the days.

Therefore:

[tex]\begin{gathered} \frac{3.07\cdot 10^7}{63.8}=\frac{x}{130} \\ \\ x=3.07\cdot10^7\cdot\frac{130}{63.8} \\ \\ x=6.25\cdot10^7\text{ km} \end{gathered}[/tex]

This means that the second planet is 6.25 10^7 kilometers from Gliese 876

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