How Does Adding Mass Affect Normal Force?

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mystmyst
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I just made up this question to understand how normal force works:

Let's say mass [tex]A = 20 kg[/tex] and it's on a flat surface. The normal force = [tex]20g[/tex]

But what happens when you put mass B on top of mass A?

mass B = [tex]10kg[/tex]

Does mass A have the same normal force, or does the normal force equal [tex]20g + 10g[/tex]

And does mass B have it's own normal force reacting on mass A which would equal [tex]10g[/tex]?
 
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The force acting on block A due to the ground would be 30g. The force that block A acts on block B is 10g.
 
Thanks for your quick response!