The gravitational force between the two spheres is 0.006 N
Explanation:
The magnitude of the gravitational force between two objects is given by
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where
[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant
[tex]m_1, m_2[/tex] are the masses of the two objects
r is the separation between them
For the two spheres in this problem, we have
[tex]m_1 = 38,500 kg[/tex]
[tex]m_2 = 15,400 kg[/tex]
r = 2.55 m
Substittuting into the equation, we find
[tex]F=(6.67\cdot 10^{-11})\frac{(38,500)(15,400)}{2.55^2}=0.006 N[/tex]
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