Work Done By A Nonconstant Force: Difference between revisions
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===A Mathematical Model=== | ===A Mathematical Model=== | ||
<math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \ | <math> W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} </math> | ||
===A Computational Model=== | ===A Computational Model=== | ||
Revision as of 16:22, 4 December 2015
This page will help students understand how to calculate the work done by a non constant force.
The Main Idea
When calculating the force, if the magnitude of the force or direction of the force changes, it is not possible to calculate the work done by multiplying force by the displacement. Instead the non constant force is split into a path with small increments.
A Mathematical Model
[math]\displaystyle{ W=\int\limits_{i}^{f}\overrightarrow{F}\bullet\overrightarrow{dr} = \sum\overrightarrow{F}\bullet\Delta\overrightarrow{r} }[/math]
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
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See also
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References
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Claimed By Justin V.