Question #8bb4e

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Question #8bb4e

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Answer 1 · 2016-11-03T03:07:32

As per Law of Universal Gravitation the force of attraction between two bodies is directly proportional to the product of masses of the two bodies. it is also inversely proportional to the square of the distance between the two. That is the Gravitational force follows inverse square law.
Mathematically

$F_{G} \propto M_{1} . M_{2}$ $F_G prop M_1.M_2$
Also $F_{G} \propto \frac{1}{r^{2}}$ $F_G prop 1/r^2$
Combining the two we obtain the proportionality expression

$F_{G} \propto \frac{M_{1} . M_{2}}{r^{2}}$ $F_G prop (M_1.M_2)/r^2$
Follows that

$F_{G} = G \frac{M_{1} . M_{2}}{r^{2}}$ $F_G =G (M_1.M_2)/r^2$

Where $G$ $G$ is the proportionality constant.
It has the value $6.67408 \times 10^{- 11} m^{3} k g^{- 1} s^{- 2}$ $6.67408 xx 10^-11 m^3 kg^-1 s^-2$

When one of the two interacting bodies is earth, the gravitational force between the two is called force of gravity or simply gravity.

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