183_notes:constantf

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183_notes:constantf [2021/02/04 23:27] – [Predicting the Motion] stumptyl183_notes:constantf [2021/02/18 20:52] – [Predicting the Motion] stumptyl
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-==== Predicting the Motion ==== +====== Predicting the Motion ======
  
 Consider a fan cart that is released on a low-friction track. Here's a video of the situation. Consider a fan cart that is released on a low-friction track. Here's a video of the situation.
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-=== Deriving the Equation for Constant Force Motion in 1D ===+===== Deriving the Equation for Constant Force Motion in 1D ====
  
 If you choose the horizontal direction to be the x-direction, we have the following equations to describe the motion. If you choose the horizontal direction to be the x-direction, we have the following equations to describe the motion.
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-== Connection to Energy ==+==== Connection to Energy ====
  
 As you will read, the motion of systems can also be predicted or explained by using the [[183_notes:define_energy|energy principle]] in addition to or, as an alternative, to using the [[183_notes:momentum_principle|momentum principle]]. You will find that using energy, you can often think about [[183_notes:grav_and_spring_pe|the initial and final states of the system's motion]] and not how that motion evolves (e.g., over what time the motion occurs).  As you will read, the motion of systems can also be predicted or explained by using the [[183_notes:define_energy|energy principle]] in addition to or, as an alternative, to using the [[183_notes:momentum_principle|momentum principle]]. You will find that using energy, you can often think about [[183_notes:grav_and_spring_pe|the initial and final states of the system's motion]] and not how that motion evolves (e.g., over what time the motion occurs). 
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 Again, as you will read, this equation can also be derived from [[183_notes:work|the relationship between kinetic energy and work]]. Again, as you will read, this equation can also be derived from [[183_notes:work|the relationship between kinetic energy and work]].
  
-=== Constant Force in 3D ===+\\ 
 +==== Constant Force in 3D ====
  
 The derivation for each dimension is similar (so long as the force is constant in each direction). The result is the following general equation, The derivation for each dimension is similar (so long as the force is constant in each direction). The result is the following general equation,
  • 183_notes/constantf.txt
  • Last modified: 2023/01/13 19:59
  • by hallstein