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If you push on a wall, why will your hand not go through the wall?
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Standing on the ground, you push on the ground with a force due to gravity (Fg down) and the ground pushes back on you (FN up).
FN is the normal force. It balances out the force due to gravity down. The normal force is always perpendicular to the surface the object is on. Without it there would be a net force down on you and you would accelerate down. This is an example of an action-reaction pair, two forces that are equal but opposite to each other.
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