Physics
Basic

Friction Force

Resistive force between surfaces.

Formula

f=μNf = \mu N

Variables

\muFriction coefficient
NNormal force

Example

Rougher surfaces, more friction

How it works

This formula says the friction force between two surfaces is proportional to how hard the surfaces are pressed together. The coefficient of friction, μ, depends on the materials and how rough or sticky their contact is, while the normal force, N, is the perpendicular push between them. It works as a simple model because greater contact pressure usually creates larger microscopic interlocking and resistance to sliding.

When to use it

Use this when you need the size of friction acting on an object sliding or about to slide along a surface, such as a box on a floor or a block on a ramp. It is especially useful in basic mechanics problems where the friction coefficient is given or can be looked up.

Worked example, step by step

A 12 kg box rests on a horizontal floor. The coefficient of friction is 0.35. Step 1: Find the normal force. N = mg = 12 × 9.8 = 117.6 N Step 2: Use the friction formula. f = μN = 0.35 × 117.6 Step 3: Calculate the friction force. f = 41.16 N Final answer: The friction force is about 41 N.

Common mistakes to avoid

  • Using the weight directly instead of the normal force when the surface is not vertical
  • Forgetting that μ depends on the pair of surfaces, not on the object's mass
  • Assuming friction always equals μN even when the object is not slipping or the situation requires static friction

Did You Know?

Friction force is remarkably independent of contact area, which is why tyre width barely affects braking on dry roads.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026