You are viewing an old version of this page. View the current version.
Compare with Current
View Page History
« Previous
Version 89
Next »
Unknown macro: {table}
Unknown macro: {tr} Unknown macro: {td}
Error formatting macro: live-template: java.lang.NullPointerException
Unknown macro: {td}
Description and Assumptions
This model is [generally applicable] (assuming knowledge of the external forces and system constituents).
Problem Cues
This model is especially useful when describing the momentum of systems where external forces are absent (system momentum will be constant) or estimating the force in a process that occurs in a very short time interval as in collisions (impulse will be easier to determine than force).
Prerequisite Knowledge
Compatible Systems
The system must be effectively composed of point particles, though rigid bodies may be treated as point particles with positions specified by the center of mass positions of the rigid body when this model is used.
Relevant Interactions
Only external forces need be considered, since internal forces do not change the system's momentum.
Model
Relevant Definitions
Unknown macro: {latex} \begin
Unknown macro: {large} [ \vec
Unknown macro: {p}
= m\vec
Unknown macro: {v}
]\end
Laws of Change
Differential Form
Unknown macro: {latex} \begin
Unknown macro: {large} [ \sum_
Unknown macro: {rm system}
\frac{d\vec{p}}
Unknown macro: {dt}
= \sum_
Unknown macro: {rm external}
\vec
Unknown macro: {F}
]\end
Integral Form
Unknown macro: {latex} \begin
Unknown macro: {large} [ \sum_
Unknown macro: {rm system} \vec
Unknown macro: {p}
_
Unknown macro: {f}
= \sum_
\vec
Unknown macro: {p} _
Unknown macro: {i}
+ \sum_
Unknown macro: {rm external}
\vec
Unknown macro: {J}
= \sum_
Unknown macro: {rm system}
\vec
_
Unknown macro: {i}
+ \int \sum_
Unknown macro: {rm external}
\vec
Unknown macro: {F}
\:dt ]
\end
Diagrammatic Representations
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Relevant Examples
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Error formatting macro: contentbylabel: com.atlassian.confluence.api.service.exceptions.BadRequestException: Could not parse cql : null
Unknown macro: {search-box}
Error formatting macro: live-template: java.lang.NullPointerException