Physics problem: What are the SI units of G (Newton's gravitational constant)?

Question

(A) in terms of m, kg, s
(B) Find the dimensions of G (in terms of L, M, T)

Answer 1

F=GMm/R^2



so, G=F R^2/Mm



(A) S.I unit= m^3 kg^-1 s^-2



(B) dimention=L^3/MT^2

Answer 2

Units Of Gravitational Constant

Answer 3

Units Of G

Answer 4

Use dimensional analysis:



F = GMm/(r^2)



Without G, you'd have Newtons on the left, and kg^2/m^2 on the right. So then, what need be the dimensions of G to make this equation dimensionally consistent?



You can reduce Newtons to SI units using



F = ma