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The mass of the earth is \(6 \times 10^{24}\ kg\) and that of the moon is \(7.4 \times 10^{22}\ kg\). If the distance between the earth and the moon is \(3.84 \times 10^5\ km\). Calculate the force exerted by the earth on the moon. \(G\ =\ 6.7 \times 10^{–11}\ Nm^{2} kg^{-2}\).
 
According to the universal law of gravitation, the force of attraction between two bodies is,
Force exerted by the earth on the moon (\(F\)) \(=\)  \(\times 10^{20}\ N\)
 
(Note: Enter your answer with three decimal digits)