183_notes:work_by_nc_forces

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183_notes:work_by_nc_forces [2014/10/04 13:30] – [Work done in small steps] caballero183_notes:work_by_nc_forces [2021/03/12 02:34] (current) – [Work Done by Non-Constant Forces] stumptyl
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 +Section 6.3 in Matter and Interactions (4th edition) 
 +
 ===== Work Done by Non-Constant Forces ===== ===== Work Done by Non-Constant Forces =====
  
-Until now, the definition of work that has been used is for forces that are constant vectors (constant in magnitude and direction). In these notes, you will read about how to determine the work done by forces that change (either in their magnitude or direction).+Until now, the [[183_notes:work|definition of work]] that has been used is for forces that are constant vectors (constant in magnitude and direction). **In these notes, you will read about how to determine the work done by forces that change (either in their magnitude or direction).** 
 +==== Lecture Video ====
  
 +{{youtube>cPHBUCLIzJU?large}}
 ==== Work done in small steps ==== ==== Work done in small steps ====
  
-[{{183_notes:work_by_nc_forces.001.png?450|A particle moves along a curved path where the force changes along the path. To estimate the work done by this force over the whole path, you can calculate the work done in small chunks and add them up. }}]+[{{183_notes:work_by_nc_forces.001.png?500|A particle moves along a curved path where the force changes along the path. To estimate the work done by this force over the whole path, you can calculate the work done in small chunks and add them up. }}]
  
 Consider a particle that is moving along a curved path where the force changes at every instant in some way. The particle moves from an initial location to a final location, and you want to calculate the work acting on that particle over the entire path. Consider a particle that is moving along a curved path where the force changes at every instant in some way. The particle moves from an initial location to a final location, and you want to calculate the work acting on that particle over the entire path.
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 Don't get hung up on the choice of the $x$-direction here, it's just meant to communicate that the integral is calculated along a single dimension because the object increases its velocity component in only one direction. Don't get hung up on the choice of the $x$-direction here, it's just meant to communicate that the integral is calculated along a single dimension because the object increases its velocity component in only one direction.
 +
 +==== Example ==== 
 +
 +  * [[183_notes:examples:mit_water_balloon_fight|MIT Water Balloon Fight]]
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