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Find the acceleration due to Earth’s gravity at the distance of the Moon, which is on average 3.84 × 10^8 m from the center of Earth.

Respuesta :

Answer:

[tex]a = 2.7 \times 10^{-3} m/s^2[/tex]

Explanation:

As we know that acceleration due to gravity is given as

[tex]a = \frac{GM}{r^2}[/tex]

here we know that

[tex]M = 5.97 \times 10^{24} kg[/tex] (mass of earth)

r = distance at which acceleration is to be find out

[tex]r = 3.84 \times 10^8 m[/tex]

now from the formula of acceleration due to gravity we know

[tex]a = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})}{(3.84 \times 10^8)^2}[/tex]

[tex]a = 2.7 \times 10^{-3} m/s^2[/tex]