In short
Friction is the force that opposes the motion, or the attempt at motion, of two surfaces in contact. It acts along the surfaces, in the direction opposite to the sliding.
Static friction acts when there is no sliding. It grows to a maximum of , where is the normal force and is the coefficient of static friction. Once sliding starts, the kinetic friction is smaller: . Friction is the reason you can walk and why brakes work, but it also wastes energy as heat.
A box rests on a floor with . The most friction available is . A push of does not move the box.
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