How are gravitational force and universal gravitational constant are related?
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Explanation:
G is known as universal gravitational constant. Its numerical value is 6.67 × 10^-11 N-m²/Kg²
g is known as acceleration due to gravity. And its generally numerical value is 9.8 m/s². It is changeable. It is different for place in earth. g = 10 m/s² in Poles.
The relation between ‘G’ & ‘g' :-
According the Newton’s law of gravitation -
F = G M.m / r² -(I)
where M and m are two masses distance between r metre.
By Newton's second law :-
F = mg -(ii)
Where F is force and m is mass and g is acceleration due to gravity.
Now equating equation (i) and (ii) than:-
= mg = G M.m / r²
= g = G M / r² -(iii)
The above equ. (iii) is the relation between ‘G’ and ‘g'.
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