What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 1024 kg and radius of the earth is 6.4 × 106 m.)

Answers (1)

Mass of Earth Mis 6	imes 10^24; kg

Mass of the body m is 1 kg

The radius of the earth RE is 6.4	imes 10^6; m.

Universal gravitational constant, G =6.67	imes 10^-11N m^2 kg^-2

The magnitude of the gravitational force between the earth and the body would be

\F=GfracM_Emr_E^2\ F=6.67	imes 10^-11	imes frac6	imes 10^24	imes 1(6.4	imes 10^6)^2\ F=9.77N

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