Total energy of this system

  • Thread starter leonne
  • Start date
  • #1
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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=-GM2/R
So would the total energy of the two equal GM2/2R From using the virial theorem E=-(k)=U/2
 

Answers and Replies

  • #2
how did you get Etotal to be GM^2/2R?
 
  • #3
191
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well the virial theorem says e=-k=u/2 so well i made a mistake should be negative, total energy e=1/2 U= -Gm^2/2R
btw are you in the astrophysics class? If you asking about this problem and same with my other problem
 
  • #4
191
0
but i am not sure if its right if u think of something else let me know
 
  • #5
yes i am in the astrophysics class, i sent you a private message
 

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