Momentum Calculator

PHYSICS MOMENTUM p = mv SI UNITS
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Momentum calculator (p = mv): solve for momentum, mass or velocity in SI units, with a US/imperial readout. Curriculum-aligned.

RT-SCI-020 · Science

Momentum Calculator

Curriculum
p = m · v
kg·m/s

Enter any two values and leave the third blank — the calculator solves for it. Momentum is in kg·m/s; results are in SI units.

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Tool information
Curriculum
English (global) — Cambridge International + IB
Built against
Cambridge IGCSE / A-Level Physics + IB Diploma (2023–2025) — Momentum & Impulse
Unit system
SI primary; US/imperial readout below
First published
2 Jun 2026
Last updated
2 Jun 2026

How to Use the Momentum Calculator

Pick your curriculum

Use the curriculum pills above to match your syllabus (Cambridge/IB, 高考 or SBMPTN). Terminology and the whole page follow your selection.

Enter any two values

Type two of momentum, mass and velocity — leave the one you want to find blank. Mass and velocity have unit selectors.

Read the SI result

The answer is shown in SI units — kg·m/s, kg, m/s — with a dimmed US/imperial readout for mass and velocity.

Check against your syllabus

The Tool Information block shows exactly which syllabus this is built against. Spot something off? Use the feedback button.

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Momentum, in Your Curriculum's Words

Momentum (p = mass × velocity)

p = mv

Example: An object of mass 2.0 kg moves at 3.0 m/s. Find its momentum.

Given: m = 2.0 kg, v = 3.0 m/s. Using p = mv:

p = 2.0 × 3.0 = 6.0 kg·m/s

Momentum is a measure of an object's "quantity of motion": p = mv, the product of its mass and velocity. Its SI unit is the kilogram-metre per second (kg·m/s). Because velocity is a vector, momentum is also a vector — it has the same direction as the velocity. Rearranged, the same relation gives mass (m = p / v) or velocity (v = p / m), which is why this tool solves for whichever value you leave blank.

Impulse (J = FΔt) equals the change in momentum: J = Δp. In a collision, the total momentum of an isolated system is conserved — the law of conservation of momentum. Momentum has no direct imperial equivalent, so it is shown in SI only; mass and velocity carry a dimmed US/imperial readout. All calculation happens in your browser — nothing is uploaded.

Momentum is conserved in every collision — which is why a gun recoils backward as the bullet flies forward.

10 Facts About Momentum

01

Momentum is p = mv, measured in kg·m/s.

02

Momentum is a vector quantity — it has direction.

03

Impulse equals the change in momentum, J = Δp.

04

Total momentum is conserved in an isolated system.

05

Conservation of momentum explains rocket propulsion.

06

In an elastic collision, KE and momentum are both conserved.

07

In an inelastic collision, only momentum is conserved.

08

Force = rate of change of momentum (Newton's second law).

09

A heavy slow object can have the same momentum as a light fast one.

10

This calculator runs in your browser — your working stays private.

Frequently Asked Questions

  • p = mv — momentum equals mass times velocity. Rearranged, m = p / v and v = p / m. The calculator solves for whichever value you leave blank and shows the answer in kg·m/s. Momentum is a vector, so its direction is the same as the velocity's.
  • The SI unit of momentum is the kilogram-metre per second (kg·m/s). Mass is in kilograms (kg), velocity in metres per second (m/s). You may enter other units for mass and velocity (g, lb, km/h, mph); the tool converts to SI. Momentum has no direct imperial equivalent, so it is shown in SI only.
  • Impulse (force × time interval) equals the change in an object's momentum, J = Δp. This is the impulse-momentum theorem: a force acting for a time changes the momentum by the impulse delivered.
  • In an isolated system (no external forces), the total momentum before and after an event such as a collision is the same. This principle holds for both elastic and inelastic collisions and is one of the most fundamental conservation laws in physics.
  • The physics — p = mv in SI units — is identical worldwide. What changes is the terminology; "momentum" is 动量 in Chinese, while SBMPTN students see the Indonesian term. The calculated value is the same.
  • Yes. Enter two of momentum, mass and velocity and leave the third blank — the calculator rearranges p = mv and solves for the missing value.
  • The Tool Information block lists the exact syllabus for your selected curriculum (e.g. SBMPTN/SNBT Fisika). It is a study aid, not a substitute for your official syllabus or teacher.
  • No. Every calculation runs in your browser; nothing you type is uploaded. It works offline once the page has loaded.
  • Completely free, no account or usage limit. It runs entirely in your browser and collects no data.

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