Question

define the universal constants of G​

Answer 1

Explanation:

Universal Gravitational Constant ( G ) :

F = G m1 m2

r^2

If m1 = m2 = 1 and r = 1 then ,

F = G

so we can say that :

The universal gravitational constant may be define as the force of attraction between two bodies of unit mass each and placed unit distance apart.

SI unit of ( G ) :

It is equal to the force of attraction between two bodies of 1 kg each and placed 1 cm apart.

G = F r^2 / m1 m2

G = N m^2 / Kg^2

Dimension of ( G ) :

As

F = G m1 m2

r^2

G = F r^2

m1 m2

G = M L T^-2 × L^2

M × M

G = [ M^-1 L^3 T^-2 ]

The value of ( G ) :

G = 6.67 × 10^-11 N m^2 / Kg^2

This upper value in SI unit .

In Cgs system :

G = 6.67 × 10^-8 dyn cm^2 / g^2.

Note :

The value of G dose not depend on the nature and the size of the bodies . And it also dose,t depend on the nature of medium between the two bodies that why it is know as universal gravitational constant .

Thank you