Question

Is one of the printed documents the unit of the gravitational constant is given Nm/kg^2?Check it's correctness. ​

Answer 1

To check:

• Correctness of unit of Gravitational Constant written as Nm/kg².

Solution:

• The gravitational force equation is :

$F = \dfrac{G {m}^{2} }{ {d}^{2} }$

• m is mass of objects and 'd' is separation distance .

$\implies \: G= \dfrac{F {d}^{2} }{ {m}^{2} }$

• Putting SI units for each quantities:

$\implies \: G= \dfrac{N {m}^{2} }{ {kg}^{2} }$

$\boxed{ \implies \: G= N {m}^{2} / {kg}^{2}}$

So, the printed unit was incorrect❌