Answer:
The gravitational force is F = [tex]2\,*\,10^{20}\,N[/tex]
Explanation:
To answer this question we need to recall Newton's Universal Law of Gravitation for the force "F" exerted from one object to the other:
[tex]F=G\,\frac{m_1\,*\,m_2}{d^2}[/tex]
where G is the Universal gravitational constant = [tex]6.674\,* \,10^{-11}\,\,\frac{m^3}{kg\,s^2}[/tex]
[tex]m_1[/tex], and [tex]m_2[/tex] are the masses of the two bodies/objects attracting each other via gravitational force. In our case, one is the mass of the Earth = [tex]5.972\,*\,10^{24}\, kg[/tex]
and the other one,the mass of the Moon = [tex]7.36\,*\,10^{22}\,kg[/tex]
and lastly, "d" is the distance between to two objects. In our case:
d =[tex]3.84\,*\,10^8\,m[/tex]
Since all these quantities are given in SI units, when we use them in the formula, our answer will result in the SI units of force "N" (Newtons):
[tex]F=6.674\,*10^{-11}\,\frac{5.972\,10^{24}\,7.36\,10^{22}}{(3.84\,10^8)^2} \,N\\F=1.989\,*\,10^{20}\,N\\[/tex]
which can be rounded to: F = [tex]2\,*\,10^{20}\,N[/tex]
