Give the difference between the acceleration due to gravity 'g' and the universal constant of gravitation 'G'.
GSEB - Class 9 Chapter - 3.Gravitation Page 43
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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.
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.
Answered by
1
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.)
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.)
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