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Determine the mass of the moon if you are given the following data (Given: Mass of Earth, Force acting on the Moon due to Earth, and the distance between the centers of Earth and the Moon).

Respuesta :

Answer:

Explanation:

If we call

M_E = mass of the earth

M_0 = mass of the moon

R = distance between the earth and the moon

Then the gravitational force between the earth and the moon is given by

[tex]F=G\frac{M_EM_O}{R^2}[/tex]

Solving for M_O gives

[tex]\boxed{M_O=\frac{FR^2}{GM_E}\text{.}}[/tex]

Now, when F = force acting on the Moon due to Earth, R = the distance between the centres of Earth and the Moon, and M_E = mass of the earth are put into the above equation, we can determine the M_O the mass of the moon.

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