Stokes Law

F = kvxayhz

[M][L][T]-2 = [L]x[T]-x[L]y[M]z[L]-z[T]-z

(a) Equating powers of [M]; 1 = z

(b) Equating powers of [L]; 1 = x+y-z

(c) Equating powers of [T]; -2 = -x-z

Substituting (a) into (c) gives x = 1

Substituting for x and z into (b) gives y = 1

So F = kvah, and it turns out that k = 6 p