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## Homework Statement

Suppose you start with two identical finite isothermal spheres, each with initial

mass Mi and initial circular velocity vi, that are at rest a distance d apart. What

is the total energy of this system? Hint: Consider the total energy for each one

in isolation from part (a), and then the potential energy between the two.

## Homework Equations

E=v^2M/2

## The Attempt at a Solution

So the total energy for each would be E=v^2M/2 ( from what i got from A) and then the potential to be u=-GM

^{2}/R

So would the total energy of the two equal GM

^{2}/2R From using the virial theorem E=-(k)=U/2