Determine the magnitude and direction of the gravitational force exerted a) on the Moon by Earth and b) on Earth by Moon.

2 answers

The forces are the same, but in opposite directions. The Earth pulls the moon and vice versa.

The force is G*M*m/R^2
G = universaL constant of gravity
m = lunar mass
M = Earth mass
R = earth-moon separation

The force also equals m*V^2/R
where V is the velocity of the moon its orbit.
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