- #1
Saladsamurai
- 3,020
- 7
My problem lies in setting this up.
A particle of mass M is split into two pieces, M and M-m, and are set some distance apart.
What ratio of m/M maximizes the magnitude of the gravitational attraction.
I will definitely be needing [tex] F_g=\frac{Gm_1m_2}{r^2}[/tex]
I know that after making appropriate substitutions I get.
[tex]F_g=\frac{GM(M-m)}{r^2}[/tex]
but my problem is in how to compare what happens as m-->M?
Any thoughts in the set up?
Thanks,
Casey
A particle of mass M is split into two pieces, M and M-m, and are set some distance apart.
What ratio of m/M maximizes the magnitude of the gravitational attraction.
I will definitely be needing [tex] F_g=\frac{Gm_1m_2}{r^2}[/tex]
I know that after making appropriate substitutions I get.
[tex]F_g=\frac{GM(M-m)}{r^2}[/tex]
but my problem is in how to compare what happens as m-->M?
Any thoughts in the set up?
Thanks,
Casey