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183_notes:work [2014/10/09 11:59] – [Graphing the Work Done: Force vs Displacement Graphs] caballero | 183_notes:work [2015/10/05 18:43] – [The Formal Definition of Work] caballero | ||
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===== Work: Mechanical Energy Transfer ===== | ===== Work: Mechanical Energy Transfer ===== | ||
- | As you read earlier, the change in the total energy of a system is equal to the work done on that system by its surroundings. In these notes, you will read about the formal definition of work, which is the transfer of mechanical energy, and a mathematical idea that underpins work - the dot product. | + | As you read earlier, |
+ | ==== Lecture Video ==== | ||
+ | |||
+ | {{youtube> | ||
==== The Formal Definition of Work ==== | ==== The Formal Definition of Work ==== | ||
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$$W = \vec{F}\cdot\Delta\vec{r} = F_x dx + F_y dy + F_z dz$$ | $$W = \vec{F}\cdot\Delta\vec{r} = F_x dx + F_y dy + F_z dz$$ | ||
- | The dot product is one way that two vectors are " | + | The dot product is one way that two vectors are " |
[{{183_projects: | [{{183_projects: | ||
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When using work, it is critical to pay attention to the relative direction of the force and the displacement to determine how the kinetic energy will change (if at all). | When using work, it is critical to pay attention to the relative direction of the force and the displacement to determine how the kinetic energy will change (if at all). | ||
+ | |||
+ | ==== Lecture Video ==== | ||
+ | |||
+ | {{youtube> | ||
==== Graphing the Work Done: Force vs Displacement Graphs ==== | ==== Graphing the Work Done: Force vs Displacement Graphs ==== |