Confused by gravity and weight I know that $F = mg$ so $2,00 \textrm{ KG m} \cdot 9,81 \textrm{ N g} = 19,62 \textrm{ N F}$
Why does my book say that the weight of a $2,00 \textrm{ KG}$ object is $19,62\textrm{ N}$, the mass is $2,00\textrm{ KG}$ and the gravity is also $19,62\textrm{ N}$?
$F = mg,$ so $\hspace{.1in} 2,00 \textrm{ KG m} \cdot 19,62\textrm{ N g} = \textrm{ NOT  } 19,62 \textrm{ N F}$
$m = F/g$ should be 2 but this example says 1
So confused
F = Gravity in N
m = Mass in KG
g = Earths Gravity (= 9,81 N*KG-1)
I'm Dutch so my signs may be different to yours.
 A: Mass is the scientific term. It's a measure of how much inertia a body has; that is, how hard it is to push around if it was sitting floating in space. It is a fundamental quantity and has units of kilogram.
Weight is not really a scientific term. It's a common-speech term that means Force due to gravity. So strictly speaking, a weight should be in units of force, i.e., Newtons. 
However, we usually express weights in kilograms as well - we simply don't bother doing the multiplication by $9.81 ms^{-2}$ to get it into Newtons. We skip this bit to keep it simple since almost all calculations are done on Earth and gravity is (practically) the same everywhere.
Getting back to your book - I don't see the problem. A 2kg mass has a weight of 19.62N and that means that the force of gravity on it is 19.62N. Be careful to realise that the "9.81" is a acceleration due to gravity - it's the rate of change of speed of any object that falls freely under gravity. If you multiply a mass by an acceleration you get a force - that's Newton's Second Law.
Post back if I haven't cleared this up...
