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An important formula is that friction = (coefficient of friction) x (normal force).
Friction.
Friction
A friction is a force, so it would be measured in newtons. The coefficient of friction, on the other hand, is a ratio between two forces, so it is dimensionless.
Weight is extremely useful in determining the frictional force on an object. Say we have a box on a level surface. The box has a weight of mg(mass times the gravitational constant). Since the box is still, and it is being supported by the ground, there is an equal and opposite force that is being exerted on the box by the ground, which pushes it up. This is known as the normal force. The force of Friction is defined as the greek letter mu(which is the coefficient of friction for the two materials against each other)times the normal force, which in this case is mg. Mu also varies depending on wether or not the box is moving in contact with the ground. A different coefficeint of friction is used instead of the one when the box is at rest. The frictional force on the object is always greater when the object is at rest than when it is sliding. Hope this helps!