h2. Description
{table:align=right|cellspacing=0|cellpadding=1|border=1|frame=box|width=40%}{tr}{td:align=center|bgcolor=#F2F2F2}*Hierarchy of Models*{td}{tr}{tr}{td}{pagetree:root=Hierarchy of Models}{td}{tr}{table}
{excerpt}This model is applicable to a point particle when the external forces are known or needed. It is a subclass of the model [Momentum and Force] defined by the constraint _dm/dt_ = 0.{excerpt}
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h2. Assumptions and Limitations
h4. Prior Models
* Familiarity with [1D Motion with Constant Acceleration] is useful.
h4. Vocabulary
* [Newton's Laws]
* [mass]
* [acceleration]
* [force]
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h2. Model Specification
h4. System Schema
*Internal Constituents:* [Point particle|point particle].
*External Agents:* External influences must be understood sufficiently to draw a [free body diagram] for the system.
h4. Descriptors
*Object Variables:* {latex}\begin{large}\[m\]\end{large}{latex}.
*State Variables:* None.
*Interaction Variables:* {latex}\begin{large}\[\vec{F}^{\rm ext}_{i}\]\end{large}{latex} (i = 1,2,...,n where n is the number of external forces acting), {latex}\begin{large}\[\vec{a}\]\end{large}{latex}.
h4. Laws of Interaction
{latex}\begin{large} \[ \sum_{i} \vec{F}^{\rm ext}_{i} = m\vec{a} \] \end{large} {latex}
h4. Laws of Change
None.
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h2. Relevant Examples
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