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183_notes:work [2016/08/16 17:01] waterso8183_notes:work [2021/03/12 02:32] (current) – [The Formal Definition of Work] stumptyl
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 +Section 6.3 and 6.4 in Matter and Interactions (4th edition) 
 +
 ===== Work: Mechanical Energy Transfer ===== ===== Work: Mechanical Energy Transfer =====
  
-As you read earlier, [[183_notes:point_particle|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, [[183_notes:point_particle|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.**
 ==== Lecture Video ==== ==== Lecture Video ====
  
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 ==== The Formal Definition of Work ==== ==== The Formal Definition of Work ====
  
-The work that is done by a force is the //scalar// product (or dot product) of that force and the displacement.+The work that is done by a force is the **__scalar product__** (or dot product) of that force and the displacement.
  
 $$W = \vec{F}\cdot\Delta\vec{r} = F_x dx + F_y dy + F_z dz$$ $$W = \vec{F}\cdot\Delta\vec{r} = F_x dx + F_y dy + F_z dz$$
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 $$Work = (Force)*(distance) = (Newtons)*(meters) = Nm = Joule$$ $$Work = (Force)*(distance) = (Newtons)*(meters) = Nm = Joule$$
  
-The units of work is a Joule named after [[http://en.wikipedia.org/wiki/James_Prescott_Joule|James Joule]], an English physicist and beer brewer. One Joule is equal to 1 $Nm$ or 1 $kgm/s^2$.+The units of work is a Joule named after [[http://en.wikipedia.org/wiki/James_Prescott_Joule|James Joule]], an English physicist and beer brewer. One Joule is equal to 1 $Nm$ or 1 $kgm^2/s^2$.
  
 ==== Work can be positive, negative, or zero ==== ==== Work can be positive, negative, or zero ====
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