Of an asteroid whose Mass is 2.0*10^-2 times that of earth's and whose distance from the sun is twice the earth's distance from the sun. Find the period in years.(adsbygoogle = window.adsbygoogle || []).push({});

I am supposed to use the concept of gravitational F=centripital force[tex]=m\frac{v^2}{r}[/tex] and the fact that [tex]v=\frac{2\pi r}{T}[/tex]

so this is my attempt:

[tex]F_g=\frac{GMm}{r^2}=m(\frac{v^2}{r})[/tex]

implies [tex]\frac{GMm}{r^2}=\frac{m4\pi^2r}{T^2}[/tex]

implies[tex] T=\sqrt \frac{4\pi^2r^3}{GM}[/tex]

This M though is the mass of the sun correct?

Casey

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# Homework Help: Find the Period

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