leonne
Nov10-10, 03:51 PM
1. The problem statement, all variables and given/known data
Now imagine the two spheres fall toward each other and merge, and that after
some time, they equilibrate and end up as a single isothermal sphere. Use con-
servation of mass, energy, and the virial theorem, to derive the following (and
explain your results in words):
the final mass Mf (in terms of the initial mass Mi),
ii. the fi nal circular velocity vf (in terms of vi, Ri, and d), and
iii. the final radius Rf (in terms of Ri and d)
2. Relevant equations
3. The attempt at a solution
So the final mass would just be Mii+Mi2=Mf right?
would vf=vi Ri/Di or something? distance units would cancel and so you would be left with cm/s
would the final radius Rf= Ri2/d?
But idk , I dont see how virial theorem would be used in this problem any hints thxs
Now imagine the two spheres fall toward each other and merge, and that after
some time, they equilibrate and end up as a single isothermal sphere. Use con-
servation of mass, energy, and the virial theorem, to derive the following (and
explain your results in words):
the final mass Mf (in terms of the initial mass Mi),
ii. the fi nal circular velocity vf (in terms of vi, Ri, and d), and
iii. the final radius Rf (in terms of Ri and d)
2. Relevant equations
3. The attempt at a solution
So the final mass would just be Mii+Mi2=Mf right?
would vf=vi Ri/Di or something? distance units would cancel and so you would be left with cm/s
would the final radius Rf= Ri2/d?
But idk , I dont see how virial theorem would be used in this problem any hints thxs