How does the value of 'g' on the earth is related to the mass of the earth and its radius? derive it .
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How does the value of 'g' on the earth is related to the mass of the earth and its radius? derive it .
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g = Gm
r2
mass of the body m
force of attraction between them F
and distance between earth and the body from centre of earth r
According to newton's universal law of gravitation
F=G(M*m/r^2) - (1)
and also according to newton's second law of motion F=mg - (2) {m is mass and g is acceleration due to gravity}
substituting equation (2) in (1)
mg=G(M*m/r^2)
g=G(M*m/r^2)/m
(m cancels m)
leaving
g=GM/r^2
so g is related to M that is mass of earth and radius of earth that is r.
sorry