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What is the magnitude of the normal force exerted on the mass by the floor?

I've been having trouble with these kind of problems. The equations in my book aren't very well explained, basically the book doesn't explain where these equations are coming from. This is the main reason why I'm having a hard time with these kind of problems. Anyway for the first question I thought that F=ma so I plugged in mass and the force to get acceleration, but I believe that is wrong. Any help as to what equations I need to use maybe with explanations would be a great help.