How do I calculate the normal force using vector components?

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To calculate the normal force (F_N) using vector components, it's essential to recognize that F_N acts perpendicular to the surface, while the gravitational force (F_g) acts downward. The normal force can be determined by resolving the weight of the object into components parallel and perpendicular to the surface. In scenarios involving inclined planes, F_g must be broken down into components, with F_N balancing the perpendicular component. The confusion arises from misunderstanding the relationship between F_N and F_g, as they are not directly opposite but rather interact through their respective vector components. Understanding these concepts is crucial for accurately calculating the normal force in various physics problems.
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Homework Statement



I know how to calculate F_act by adding F_N and F_g as vectors. But I completely forgot how to calculate F_N! We did forces a few months ago and I'm going over past tests. I'm stumped. I feel pretty dumb ATM.


Homework Equations



Unsure.

The Attempt at a Solution



I don't know where to go from here. I made you all a diagram:

fxbos.jpg
 
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There are no other forces in the direction opposite of your normal force vector into the ramp, so the block's weight will be the only thing that contribute to the normal force
 
So the Fn is the opposite of Fg, so 9.8 x 10 = 980 N?
 
no, Fn is not the "opposite" of Fg
Fg is pointing down, while Fn is on a diagonal
 
Okay so how do you calculate Fn?
 
big hint: vector components..
 

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