You forget that g is a variable, not a constant!
........................................
On Sat, 12 Oct 2002, Wizard of OS wrote:

> there is no formula w = m g
>
> the only valid formula is from Newton: F = m a
> in our case is a = g
>
> F = m g
> F = 1 kg = 9,81 m s^-2
> F = 9,81 N
>
> that's it

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