ANSWER:
106.8 N
STEP-BY-STEP EXPLANATION:
We have the following:
Mass of moon = 7.34*10^22 kg
Radius of moon = 1.74*10^6 m
Newton’s Law of Universal Gravitation states:
[tex]\begin{gathered} F_G=\frac{G\cdot m_1\cdot m_2}{r^2} \\ \text{ where, } \\ G=6.6743\times10^{-11}\frac{N\cdot m^2}{\text{ kg}} \end{gathered}[/tex]Mass 1 is the mass of the moon and mass 2 would be the mass of the person (66 kg), we replace and calculate the gravitational force:
[tex]\begin{gathered} F_G=\frac{6.6743\cdot10^{-11}\cdot7.34*10^{22}\cdot66}{(1.74\times10^6)^2} \\ F_G=106.8\text{ N} \end{gathered}[/tex]Therefore, the gravitational force is 106.8 N
