Kinetic Friction
Gives the friction force on an already-sliding object
The equation
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).
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.
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.
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.
Topics that use this equation
Problems using this equation
- [easy] A wooden crate of mass 8 kg is dragged at constant velocity across a horizontal floor. The coefficie…
- [medium] A 5 kg block is released from rest on a ramp inclined at 30° (π/6 rad). The kinetic coefficient of f…
- [challenge] A hockey puck is given an initial speed of v₀ = 20 m/s across ice. The kinetic friction coefficient …