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What is difference between 'g' and 'G'
Amarnathreddy , SubjectMatterExpert
Member since Jul 09 2013
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.m^{2.}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/r^{2} ---------- (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/r^{2}
or
g = GM/r^{2}
Note:
g is a constant at a given location, which depends upon M and r.
Answer.
g is the gravitational force exerted by any planet. For earth it's 9.8m/s2. G can be g but g cannot be G.
Alexandria , Student
Member since Jul 27 2012
G is the universal constant of gravitation. As we know that every body in the universe exerts a force on every other body, so the force exerted by it has a constant i.e. G which is 6.67 × 10^{-11} kg^{-1} s^{-2. }
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