Momentum Calculator

Linear momentum p = mv, with kinetic energy shown alongside.

Momentum Calculator

Worked example result
Momentum6.0000 kg·m/s
Kinetic energy (bonus)9.0000 J

A 2 kg object at 3 m/s has momentum 6 kg·m/s and kinetic energy 9 J.

Momentum measures how much motion an object carries: mass times velocity. Unlike kinetic energy, momentum is a vector and is conserved in collisions, which makes it central to collision analysis.

Enter mass and velocity to get momentum in kg·m/s, plus the object's kinetic energy as a bonus so you can compare the two quantities directly.

The formula

p = m × v; KE = ½ × m × v²

Worked example

A 2 kg object at 3 m/s has momentum 6 kg·m/s and kinetic energy 9 J.

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

Frequently asked questions

How do momentum and kinetic energy differ?

Momentum grows in direct proportion to velocity (p = mv), while kinetic energy grows with velocity squared. In a perfectly elastic collision both are conserved; in an inelastic collision only momentum is.

What is impulse?

Impulse is force × time, and it equals the change in momentum. It is why airbags and crumple zones help: they stretch the stopping time, reducing the force for the same momentum change.

Category: Science calculators