Question

Relation or similarity Betweeh G ( universal gravitational constant) and g ( acceleration due to Gravity) ?

Answer 1

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☑️G' & ‘g' are related to gravitational force.

☑️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'.



hope it helps you✌️✌️


#APS☺️☺️

Answer 2

G is the force between two bodies of unit mass separated by a unit distance is known as universal gravitational constant.

Whereas, g is the acceleration produced in a body falling freely under the action of gravitational pull of the Earth is known as acceleration due to gravity or g.