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The Laws of Motion
Further Applications of Newton's Laws
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Concept Version 7
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Friction: Kinetic

If two systems are in contact and moving relative to one another, then the friction between them is called kinetic friction.

Learning Objective

  • Explain the dynamics of energy for friction between two surfaces


Key Points

    • Kinetic (or dynamic) friction occurs when two objects are moving relative to each other and rub together (like a sled on the ground).
    • The force of friction can be represented by an equation $F_{\text{friction}} = \mu F_n$where $\mu$ is the coefficient of friction and is a unitless number that represents the strength of the friction of the surface.
    • Kinetic friction and static (stationary) friction use two different coefficients for the same material.

Term

  • kinetic energy

    The energy possessed by an object because of its motion, equal to one half the mass of the body times the square of its velocity.


Full Text

When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred.

Kinetic Friction Introduction

Here, I'll explain the microscopic justification of friction and what we can know about it. The coefficient of friction, too!

Kinetic (or dynamic) friction occurs when two objects are moving relative to each other and rub together; a sled on the ground would be a good example of kinetic friction.

Friction

Frictional forces always oppose motion or attempted motion between objects in contact. Friction arises in part because of the roughness of the surfaces in contact, as seen in the expanded view. In order for the object to move, it must rise to where the peaks can skip along the bottom surface. Thus, a force is required just to set the object in motion. Some of the peaks will be broken off, also requiring a force to maintain motion. Much of the friction is actually due to attractive forces between molecules making up the two objects, so that even perfectly smooth surfaces are not friction-free. Such adhesive forces also depend on the substances the surfaces are made of, explaining, for example, why rubber-soled shoes slip less than those with leather soles.

The force of friction is what slows an object sliding over a surface. This force is what makes the brakes on cars work or causes resistance when you slide your hand across a surface. The force of friction can be represented by an equation: $F_{\text{friction}} = \mu F_n$. In this equation $\mu$ is something called the coefficient of friction. This is a unitless number that represents the strength of the friction of the object. A very "grippy" surface like rubber might have a high coefficient of friction, whereas a slippery surface like ice has a much lower coefficient. $F_n$ is called the normal force and is the force of the surface pushing up on the object. In most cases on level ground, the normal force will be the equal and opposite of the object's weight. In other words, it is the force that the surface must exert to keep the object from falling through.

The coefficient of kinetic friction is typically represented as $\mu_k$ and is usually less than the coefficient of static friction for the same materials.

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