EQUATION

Kinetic Friction

Gives the friction force on an already-sliding object

§ 01

The equation

EQ.KINETIC-FRICTION
F_k = \mu_k N
§ 02

What it solves

Gives the friction force on an already-sliding object. Once an object is in motion, kinetic friction F_k = μ_k·N is constant regardless of speed (within the Coulomb model).

§ 03

When to use it

After an object has started sliding: braking vehicles, blocks pushed across floors, objects sliding down ramps. The kinetic coefficient μ_k is always less than or equal to the static coefficient μ_s.

§ 04

When NOT to use it

Do not use μ_k if the object has not yet started moving — use static friction to check whether the applied force exceeds μ_s·N first. The model breaks down for rubberized surfaces, viscous contacts, and high-speed scenarios where frictional heating changes surface properties.

§ 05

Common mistakes

Forgetting that F_k is always directed opposite to the velocity vector, not opposite to the net applied force. Applying the flat-surface formula N = mg on an incline instead of N = mg·cos θ. Confusing μ_k with μ_s — using the static value after sliding has begun overestimates the friction.

§ 06

Topics that use this equation

§ 07

Problems using this equation