Illustrate the relation g ∝ 1/R² with an example.



g is inversely proportional to R²


From Newton's universal law of gravitation we have,
F = GMm/ R²      .............(i)
Force experienced by a body of mass m due to the gravitational field of mass M alone is given by,
F = mg              .................(ii)
From ....(i) and ....(ii) 
GMmR² m
g = GM/ 
As G and M are constant, it is proved that g is inversely proportional to 1/R².
g ∝ 1/R²


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