# Momentum Calculator (p = mv) Compute linear momentum, mass, or velocity from the other two, with kinetic energy and km/h conversion > Canonical page: https://elysiatools.com/en/tools/momentum-calculator - **Category:** Math & Numbers - **Keywords:** momentum, linear momentum, mass, velocity, p=mv, impulse, physics, mechanics, collisions ## Overview Linear momentum is the product of an object's mass and velocity — a measure of how hard it is to stop. Equations (three-way solver): - Momentum: p = m · v (kg·m/s) - Mass: m = p / v - Velocity: v = p / m Kinetic energy KE = ½ · m · v². Velocity in km/h = v · 3.6. Momentum is conserved in closed systems. ## Inputs - **Solve For** (select) - **Momentum (p, kg·m/s)** (number): leave blank when solving for momentum - **Mass (m, kg)** (number): leave blank when solving for mass - **Velocity (v, m/s)** (number): leave blank when solving for velocity ## When to use - When solving physics homework or mechanics problems involving linear momentum, mass, or velocity. - When analyzing collision dynamics or impulse scenarios where momentum conservation needs to be verified. - When you need to quickly convert velocity to km/h and calculate kinetic energy alongside linear momentum. ## How it works - Select the variable you want to solve for: Momentum (p), Mass (m), or Velocity (v). - Input the values for the other two known variables in their respective fields. - Click calculate to compute the target value, along with kinetic energy and velocity in km/h. ## Use cases - Physics students verifying homework solutions for linear momentum and kinetic energy equations. - Educators creating physics worksheets and answer keys for mechanics lessons. - Hobbyists or engineers analyzing vehicle dynamics and impact forces during collisions. ## Frequently asked questions ### What units are used in this calculator? Momentum is in kilogram meters per second (kg·m/s), mass is in kilograms (kg), and velocity is in meters per second (m/s). ### Does this calculator compute kinetic energy? Yes, it automatically calculates kinetic energy (KE = ½ · m · v²) in Joules based on the mass and velocity. ### Can I convert velocity to km/h? Yes, the calculator automatically outputs the velocity in kilometers per hour (km/h) alongside the standard m/s. ### How do I solve for mass? Select 'Mass (m)' from the 'Solve For' dropdown, enter the momentum and velocity, and the tool will calculate the mass using m = p / v. ### What is the relationship between momentum and kinetic energy? Momentum (p = mv) measures an object's motion and resistance to stopping, while kinetic energy (KE = ½ · m · v²) measures the energy associated with that motion. ## Related tools - [Dimensional Analysis Unit Cancellation Tutor](https://elysiatools.com/en/tools/dimensional-analysis-unit-cancellation-tutor): Step-by-step factor-label unit cancellation with inverted-factor diagnosis and optional student-answer checking. - [Force Calculator (F = m·a)](https://elysiatools.com/en/tools/force-calculator): Compute force, mass, or acceleration from Newton's second law, with weight on Earth - [Kinetic Energy Calculator (KE = ½mv²)](https://elysiatools.com/en/tools/kinetic-energy-calculator): Compute kinetic energy, mass, or velocity from the other two, with momentum and km/h conversion - [Ohm's Law and Power Triangle Calculator](https://elysiatools.com/en/tools/ohms-law-calculator): Solve for two unknowns among Voltage, Current, Resistance and Power from any two given values, with visual triangles and AC power-factor support - [Pressure Calculator & Converter (P=F/A, Pa/kPa/bar/atm/psi)](https://elysiatools.com/en/tools/pressure-conversion): Solve pressure, force, or area from P=F/A, and convert between Pa, kPa, MPa, bar, atm, psi, Torr, inHg, kgf/cm² - [Torque Calculator (τ = rF sinθ)](https://elysiatools.com/en/tools/torque-calculator): Compute torque, force, or lever arm from τ = r·F·sin(θ), with the perpendicular force component shown - [Unit Converter with Formula Display](https://elysiatools.com/en/tools/unit-converter-with-formula): Convert common physical, chemistry, cooking, medical, and information units with the formula and dimensional analysis visible. - [Cable Voltage Drop Calculator](https://elysiatools.com/en/tools/voltage-drop-calculator): Compute cable voltage drop from current, length, conductor size (AWG/mm²) and material, for DC, single-phase and three-phase circuits ## Samples - [Web Image Processing Python Samples](https://elysiatools.com/en/samples/web-image-processing-python): Web Python image processing examples using PIL/Pillow including reading, saving, resizing, and format conversion - [Android Image Processing Java Samples](https://elysiatools.com/en/samples/android-image-processing-java): Android Java image processing examples including reading/saving images, scaling, and format conversion - [Android Image Processing Kotlin Samples](https://elysiatools.com/en/samples/android-image-processing-kotlin): Android Kotlin image processing examples including reading/saving images, scaling, and format conversion - [Web Image Processing Rust Samples](https://elysiatools.com/en/samples/web-image-processing-rust): Web Rust image processing examples including image read/save, scaling, and format conversion ## Related content - [Physics Classroom and Lab Calculators](https://elysiatools.com/en/hubs/physics-classroom-and-lab-calculators): Compare force, energy, motion, buoyancy, pressure, wave, decibel, and measurement-precision tools in one focused physics study and lab workflow hub. - [Audio Encoding and Format Conversion Tools](https://elysiatools.com/en/hubs/audio-convert): Compare audio format conversion, bitrate changes, sample-rate conversion, codec swaps, and export tools in one hub for delivery and archive workflows. - [Image Format Conversion and Animated Export Tools](https://elysiatools.com/en/hubs/image-convert): Compare image format converters for JPG, PNG, GIF, AVIF, WebP, TIFF, ICO, base64, and animation-friendly exports in one hub. - [JSON Interchange and Format Translation Tools](https://elysiatools.com/en/hubs/json-convert): Compare JSON conversion tools for CSV, YAML, TOML, GraphQL, XML, Markdown, Excel, BSON, EDN, and related structured formats in one hub.