Help with dimensional analysis....

I last studied physics 30 years ago at high school. I am currently considering a return to university to develop a problem-solving model for applied psychology. As a test, I am currently trying to apply the problem-solving model to Newton's gravitational equation but I have an equation I can't find the dimensions to (my maths skills are very poor).

The equation is:

F = 1/G x d

where 1 is 1 metre and G is a reduced Gravitational Constant with dimensions N m². d is distance in metres.

My attempt to solve this is that the dimensions should be in Newtons but I have a feeling this is wrong and I cannot figure this out. I maybe have the equation formulated incorrectly, but the output value should be measured in Newtons, or Newtons per d

Can anyone provide me with any assistance?

Much appreciated

David

(edited 1 year ago)

Reply 1

Ferret!

With your equation

F = \frac{1}{G} \times d

we have associated units

[N] = \frac{[m]}{[Nm^{2}]} \times [m]

. This is a wrong statement; the units do not match at all. Where did you get this equation for force, and what is this reduced gravitational constant?