183_notes:examples:finalloccf

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183_notes:examples:finalloccf [2014/07/11 03:02] caballero183_notes:examples:finalloccf [2014/07/14 17:08] (current) caballero
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 ===== Example: Predicting the location of an object undergoing constant force motion ===== ===== Example: Predicting the location of an object undergoing constant force motion =====
  
-The fan cart in the video below is observed to [[183_notes:acceleration|accelerate]] uniformly to the right. The air exerts a [[183_notes:constantf|constant force]] on the blades that is around $0.45 N$. Determine the how far the has traveled after $2.2 s$ if the cart starts from rest.+The fan cart in the video below is observed to [[183_notes:acceleration|accelerate]] uniformly to the right. The air exerts a [[183_notes:constantf|constant force]] on the blades that is around $0.45 N$. Determine the how far the fan cart has traveled after $2.2 s$ if the cart starts from rest.
  
 === Facts ==== === Facts ====
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     * the force applied by the track (directly upward)     * the force applied by the track (directly upward)
     * a frictional forces and air resistance that resist the motion     * a frictional forces and air resistance that resist the motion
-  * The acceleration due to gravity is 9.8 $\dfrac{m}{s^2} and is directed downward.+  * The acceleration due to gravity is 9.8 $\dfrac{m}{s^2}and is directed downward.
  
 === Lacking === === Lacking ===
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 === Approximations & Assumptions === === Approximations & Assumptions ===
  
-  * Over the interval that we care about it, we will assume the net force is doesn't change. That is, the cart experiences [[183_notes:constantf|constant force motion]].+  * Over the interval that we care about it, we will assume the net force doesn't change. That is, the cart experiences [[183_notes:constantf|constant force motion]].
   * As a result, the motion occurs only in the horizontal direction.   * As a result, the motion occurs only in the horizontal direction.
  
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 We can compute this displacement, We can compute this displacement,
  
-$$\Delta x_{cart} = (0 \dfrac{m}{s}) (2.2 s) + \dfrac{1}{2}\dfrac{0.45 N}{0.3kg}(2.2s)^2$$+$$\Delta x_{cart} = (0 \dfrac{m}{s}) (2.2 s) + \dfrac{1}{2}\dfrac{0.45 N}{0.3kg}(2.2s)^2 = 3.6 m$$
  
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  • by caballero