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Normal Force -- The force between two bodies in contact, perpendicular to the plane of contact.
It is equal to the force the blocks push on each other - in the case of two horizontal blocks, one lying on the top of another, the force is mg, where m is the mass of the higher block and g is the acceleration due to gravity.
Normal force is one type of contact force - Another is friction, which includes static, kinetic, and rolling friction.

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