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A 65 kg astronaut in the international space station is approximately 3.81 × 10^8 m away from the moon. How much gravitation force does she feel? The mass of the Moon is 7.355 × 10^22 kg.

Respuesta :

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]