Cherenchikova

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Answer:

Answer:

Well there is no derivation of this formula . It's no mathematical equation it's just basic principle to describe properties of objects that has mass .

It goes as follows that gravitational force F between two objects of mass m1 and M2 which are distance d apart is

F \propto \: m_{1}m _2F∝m

1

m

2

and

F \propto \frac{1}{ { d}^{2} }F∝

d

2

1

By combining these to equation we get

F \propto \frac{m_1m _2}{ {d}^{2} }F∝

d

2

m

1

m

2

When we remove the proptional sign there comes a constant G which is called gravitational constant

F = G\frac{m_1m _2}{ {d}^{2} }F=G

d

2

m

1

m

2

Value of G is

= 6.674 \times {10}^{ - 11} N {m}^{2} {(kg)}^{ - 2}=6.674×10

−11

Nm

2

(kg)

−2

251

Thomas

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