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Physics

Impulse-Momentum Theorem

Linear impulse is the net force integrated over time and equals the change in linear momentum.

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Source & review

Difficulty

Intermediate

Read time

5 min

Prerequisites

Basic algebra, consistent units, and the stated model assumptions

Review statusNeeds review

Source

OpenStax, College Physics 2e, §8.2 (Paul Peter Urone and Roger Hinrichs)

OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Linear impulse is the net force integrated over time and equals the change in linear momentum. The force-times-time form uses the average net force over that interval.

Variables & Units
Understanding each component
SymbolMeaningUnits
Signed linear impulse
Average net-force component
Duration of the force interval
Change in the same linear-momentum component
Real-World Applications
Where this formula is used in practice

Linear impacts

Relate force duration to momentum change.

Force pulses

Estimate impulse from average net force.

Worked Example
Step-by-step calculation with real numbers

Problem

An average net force of +10 N acts on an object for 2 s. Find the linear impulse.

Given

Solution

1
2
3

Final Answer

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