obtain
an expression for
mass
of
earth
by
law of gravitation
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This was done by measuring the acceleration due to gravity as accurately as possible and then calculating the mass of Earth M from the relationship Newton’s universal law of gravitation gives
mg = G mM/r^2
, where m is the mass of the object, M is the mass of Earth, and r is the distance to the center of Earth (the distance between the centers of mass of the object and Earth).
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