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

It is correct

Explanation:

N is a unit of force

m for distance

and kg for mass

dimension of force is MLT-2

dimension of distance is L

dimension of mass is M

then. Nm2kg-2 must be equal to [MLT-2][L2][M-2]

or, Nm2kg-2 = [M-1 L3 T-2]. 1

force (F) = G (m1 x m2)/d2

or G = Fd2/(m1m2)

G = (MLT-2 . L2)/M-2

= M-1L3T-2. 2

EQN 1 = EQN 2

so given unit is correct

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