Grade 12General Physics
what is the relation between specific gravity and gravitational force?
what is the relation between specific gravity and gravitational force?
2 Answers
Arnav Prasad
I wish to be a little honest, but your question seemed a little ambiguous.
Going by the definition, Gravitational Force (G.F.) is a force exerted by a mass on another mass.
Whereas, Specific Gravity (S.G.) is the density of a material with respect to distilled and pure water. Numerically same as density of material in Grams per Centimeter cube.
S.G. = Density of Object / Density of Distilled Pure Water.
G.F. = Gravitation Constant (G) x Mass of Object (m) x Mass of other Object (M) / (Distance between their centres (or R))2.
But... If there is a strong need of it in a question... We “can” relate them. Not saying no to it.
Firstly, related G.F. and simple density (ALL in S.I. units).
If you are given specific gravity of the planet... We are relating G.F. and Simple Density = [M/{4(Pi)R3/3}] of planet at first.
G.F. = GMm/R2, You know this.
R is basically Radius of planet.
Multiply and divide by 4(Pi or 3.14)R,
You must get 4G*(Simple density of planet)R(3.14 or Pi)m/3.
Simple density in Kilograms per Metre cube = 1000 x Specific Gravity.
G.F. = 4000(G)(S.G. of planet)(R)(Pi or 3.14)(m)/3.
Govind Yadav
Gravitational force is not dependent on specific gravity.
Therefore specific gravity will not change gravitational force.
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