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To figure out the force of gravity between the earth and the moon, you need to use newton's equation of gravitational force, i.e. F=(G x m1 x m2)/r^2 Where F is the force of gravity, m1 and m2 are the masses of the two objects in question, r^2 is the distance between the two objects in question, squared (times itself), and G is the gravitational constant which has a value of 6.67 x 10^-11 m^3/kg s^2

So, the answer is [(6.67 x 10^-11 m^3/kg s^2) (5.9724 x 10^24 kg) (7.36 x 10^22 kg)] / ((3.844 x 10^8 m)^2) = 1.9842 x 10^20 N

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