- #1
Saladsamurai
- 3,020
- 7
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.
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
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