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Physics

Linear Momentum

Linear momentum combines mass with velocity and therefore has direction.

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Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

OpenStax, College Physics 2e, §8.1 (Paul Peter Urone and Roger Hinrichs)

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Linear momentum combines mass with velocity and therefore has direction. In one dimension a sign records that direction; in several dimensions the relation applies to vectors. This definition alone does not imply momentum is conserved.

Variables & Units
Understanding each component
SymbolMeaningUnits
Signed linear-momentum component
Mass
Signed velocity component
Real-World Applications
Where this formula is used in practice

Collisions

Calculate momentum before applying conservation.

Impulse

Relate a momentum change to an impulse.

Worked Example
Step-by-step calculation with real numbers

Problem

A 2.00 kg cart moves at +3.00 m/s along a track. Find its momentum along the track.

Given

Solution

1
2
3

Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

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