Answer:
201 km
Explanation:
The gravitational force between two object is given by:
\(F=G\frac{m_1 m_2 }{r^2}\)
where
\(G=6.67 \cdot 10^{-11}\) is the gravitational constant
m1=722 kg is the mass of the first probe
m2=722 kg is the mass of the second probe
r is the distance between the two probes
Since in this problem we know the magnitude of the gravitational force, \(F=8.61 \cdot 10^{-16}N\), we can re-arrange the equation and find the distance:
\(d=\sqrt{G\frac{m_1 m_2}{F}}=\sqrt{(6.67 \cdot 10^{-11}) \frac{(722 kg)^2}{8.61 \cdot 10^{-16} N}}=2.01 \cdot 10^5 m=201 km\)
