MASS OF THE EARTH
Consider a body of mass m on the surface of the earth. Let the mass of the Earth be Me and the radius of the earth be R. The distance between the body and center of the earth is equal to the radius R of the earth.According to the law of gravitation,the gravitational force F of the Earth acting on the body is given by,
F=G mMe
R²
F=w=mg
mg=G mMe
R²
g=G Me
R²
Me=R² g
G
Mass of the earth can be determined on putting the values in equation
Me=(6.4×10⁶m)²×10msh²
6.673×10-¹¹ Nm² kg -2
=6.0×10²⁴kg
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