Answer:
[tex]1.94\cdot 10^{20} N[/tex]
Explanation:
The magnitude of the gravitational force between two objects is given by the equation:
[tex]F=G\frac{m_1 m_2}{r^2}[/tex]
where
G is the gravitational constant
m1, m2 are the masses of the two objects
r is the separation between the objects
The gravitational force is always attractive.
In this problem, we have:
[tex]m_1 = 5.98\cdot 10^{24}kg[/tex] is the mass of the Earth
[tex]m_2 = 7.34\cdot 10^{22} kg[/tex] is the mass of the Moon
[tex]r=3.88\cdot 10^8 m[/tex] is the separation between the Earth and the Moon
Therefore, the gravitational force between them is
[tex]F=(6.67\cdot 10^{-11})\frac{(5.98\cdot 10^{24})(7.34\cdot 10^{22})}{(3.88\cdot 10^8)^2}=1.94\cdot 10^{20} N[/tex]
