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.
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=-GM2/R
So would the total energy of the two equal GM2/2R From using the virial theorem E=-(k)=U/2