In one of the printed docunent the unit of universal gravitational constant is given Nm2kg-2.Check its correctness for dimension analysis.​

Respuesta :

Answer:

It is correct

Explanation:

Given dimension is:

                            Nm² kg⁻²

To find the dimension of the universal gravitational constant, let us state the law of universal gravitational constant.

"every particle attracts every other particle with a force that is directly proportional to their masses and inversely proportional to the mass between them".

  F = [tex]\frac{Gm_{1} m_{2} }{r^{2} }[/tex]

F is the force

G is the universal gravitation constant

m is the mass

r is the distance between them

Using the dimension;

          N  = [tex]\frac{G x kg x kg}{m^{2} }[/tex]

         Nm² = Gkg²

  Unit of G = Nm² kg⁻²

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