Friction Calculator

Friction force from the coefficient of friction and the object's weight.

Friction Calculator

Typical values: ice on steel ≈ 0.03, wood on wood ≈ 0.3–0.5, rubber on dry concrete ≈ 0.6–1.0.
Worked example result
Normal force (= weight)98.0665 N
Friction force (max static / kinetic)49.0332 N

A 10 kg box (weight 98.07 N) with μ = 0.5 experiences up to 49.03 N of friction — you must push harder than that to start it sliding.

The friction force between two surfaces is proportional to how hard they are pressed together: F = μ × N, where N is the normal force and μ is the coefficient of friction for the pair of materials.

On a flat horizontal surface the normal force equals the object's weight, mg, with g = 9.80665 m/s². Enter the mass and μ; the normal force is shown so you can check it. For static friction this is the maximum available force — actual static friction adjusts up to this limit to match any applied force.

The formula

F = μ × N; N = m × g on a horizontal surface, g = 9.80665 m/s²

Worked example

A 10 kg box (weight 98.07 N) with μ = 0.5 experiences up to 49.03 N of friction — you must push harder than that to start it sliding.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

Does friction depend on contact area?

In the standard textbook model, no — friction depends only on μ and the normal force. Real surfaces can deviate, but F = μN is the model used in physics and engineering estimates.

What is the difference between static and kinetic μ?

Static μ (for surfaces at rest) is usually higher than kinetic μ (for sliding surfaces), which is why an object takes more force to start moving than to keep moving. Use the μ that matches your situation.

Category: Science calculators