Relation between G and g under free fall
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G stands for Newton's universal gravitational constant, whereas g stands for the acceleration due to gravity at a certain point. G = 6.67300 × 10-11 N.m2.kg-2, G is a constant throughout space and time and it is a scalar quantity. g = 9.8 m.s-2, g is acceleration due to gravity which is a variable quantity and a vector qualtity. According to Newton's law of universal gravitation the force of attraction between two bodies is given by F = GMm/r2 ---------- (i)From Newton's second law of motion the weight of a body of mass m is F = mg -----------------(ii) From (i) and (ii) mg = GMm/r2 or g = GM/r2 Note: g is a constant at a given location, which depends upon M and r.
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G stands for Newton's universal gravitational constant, whereas g stands for the acceleration due to gravity at a certain point. G = 6.67300 × 10-11 N.m2.kg-2, G is a constant throughout space and time and it is a scalar quantity. g = 9.8 m.s-2, g is acceleration due to gravity which is a variable quantity and a vector qualtity. According to Newton's law of universal gravitation the force of attraction between two bodies is given by F = GMm/r2 ---------- (i)From Newton's second law of motion the weight of a body of mass m is F = mg -----------------(ii) From (i) and (ii) mg = GMm/r2 or g = GM/r2 Note: g is a constant at a given location, which depends upon M and r.
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