Answer:
[tex]F = 2.2 \times 10^{-3} N[/tex]
Explanation:
Force of gravitation between Astronaut and Moon is given by the Universal law of gravitation
[tex]F = \frac{Gm_1m_2}{r^2}[/tex]
now we will have
[tex]m_1 = 7.355 \times 10^{22} kg[/tex]
[tex]m_2 = 65 kg[/tex]
[tex]r = 3.81 \times 10^8 m[/tex]
now from above formula we have
[tex]F = \frac{(6.67 \times 10^{-11})(65)(7.355 \times 10^{22})}{(3.81 \times 10^8)^2}[/tex]
[tex]F = 2.2 \times 10^{-3} N[/tex]