Question

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

Answer 1

It is correct

Step-by-step 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 =
`(Gm_(1) m_(2) )/(r^(2) )`

F is the force

G is the universal gravitation constant

m is the mass

r is the distance between them

Using the dimension;

N =
`(G x kg x kg)/(m^(2) )`

Nm² = Gkg²

Unit of G = Nm² kg⁻²