What is the Gravitational Force on Two Satellites Circling Earth?

[astru025]

Homework Statement

Image attached. This figure shows the force on a 0.1-kilogram mass at various distances from Earth. Notice that the force decreases as the square of the distance. Now, consider satellites A and B, both circling Earth. If A has ten times the mass of B but B is 1/10 of the distance to the center of Earth as is A, what is the gravitational force on A relative to that of B due to Earth?
1/100 times as much
100 times as much
1/10 the amount
10 times as much
the two are equal

Homework Equations

G=m_1*m_2/ r^2

The Attempt at a Solution

I used my textbook and numerous notes and could not figure out a wAy to attempt this problem. Any pointers would be great.

 

[voko]

The relevant equation is not $$ G = \frac {m_1 m_2} {r^2} $$ It is $$ F = G \frac {m_1 m_2} {r^2} $$

Now, let $M$ be the mass of the Earth, $m_A$ be the mass of A, $m_B$ the mass of B, $r_A$ and $r_B$ the distances from the Earth to A and B, respectively. What is $F_A$ and $F_B$? What is $F_A/F_B$?