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Derive the relation between g & …

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Derive the relation between g & G
  • 3 answers

Punit Bihare 6 years, 10 months ago

F=GMm/R^2 F=mg Therefore comparing 1 and 2 eq. , GMm/R^2=mg Therefore g=GM/R^2

Gaurav Seth 6 years, 10 months ago

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.
g = 9.8 m.s-2.   g is a variable quantity.
G is a scalar quantity whereas g is a vector qualtity. 
 
(According to Newton's law of universal gravitation the force of attraction between two bodies is given by F = GMm/r2, where the symbols stand for their usual well known meanings. Also the weight of a body of mass m is F = mg.
So mg = GMm/r2
or g = GM/r2
g is a constant at a given location, which depends upon M and r.)

Prakhar J 6 years, 10 months ago

g=( GM)/R^2
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