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System: Any system can be treated as a point particle located at the center of mass. — Interactions: Any. |
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h2. Keys to Applicability
{table:align=right|cellspacing=0|cellpadding=1|border=1|frame=box|width=40%}{tr}{td:align=center|bgcolor=#F2F2F2}*[Model Hierarchy]*{td}{tr}{tr}{td}{pagetree:root=Model Hierarchy|reverse=true}{td}{tr}{table}
{excerpt}This model is applicable to a point particle (or to a system of objects treated as a point particle located at the system's center of mass) when the external forces are known or needed. It is a subclass of the model [Momentum and Impulse] defined by the constraint _dm/dt_ = 0.{excerpt}
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h2. Assumptions and Limitations
h4. Prior Models
* [One-Dimensional Motion with Constant Acceleration|1-D Motion (Constant Acceleration)].
h4. Vocabulary
* [Newton's First Law]
* [Newton's Second Law]
* [Newton's Third Law]
* [mass]
* [acceleration]
* [force]
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h2. Model Specification
h4. System Schema
*[Constituents|system constituent]:* [Point particle|point particle].
*[Interactions|interaction]:* External influences must be understood sufficiently to draw a [free body diagram] for the system.
h4. Descriptors
*[Object Variables|object variable]:* {latex}\begin{large}\[m\]\end{large}{latex}.
*[State Variables|state variable]:* None.
*[Interaction Variables|interaction variable]:* {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}.
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h2. Model Equations
h4. Mathematical Statement of the Model
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