183_notes:examples:finalloccf

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision		 Previous revision
183_notes:examples:finalloccf [2014/07/11 02:58] – [Example: Predicting the location of an object undergoing constant force motion] caballero183_notes:examples:finalloccf [2014/07/14 17:08] (current) – caballero
Line 1: Line 1:
 ===== 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 0.45N. Determine the how far the has traveled after 2.2s 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 0.45N. Determine the how far the fan cart has traveled after 2.2s if the cart starts from rest.
  
 === Facts ==== === Facts ====
Line 14: Line 14:
     * 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 ===
Line 22: Line 22:
 === 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.
  
Line 32: Line 32:
   * The displacement of the fan cart in the x-direction can be written like this: xf−xi=vxiΔt+12Fnet,xmΔt2   * The displacement of the fan cart in the x-direction can be written like this: xf−xi=vxiΔt+12Fnet,xmΔt2
  
 +==== Solution ====
  
 +The displacement of the cart is given by,
  
- +Δxcart=xcart,f−xcart,i=vcart,xiΔt+12Fnet,xmcartΔt2 
 + 
 +We can compute this displacement, 
 + 
 +Δxcart=(0ms)(2.2s)+120.45N0.3kg(2.2s)2=3.6m
  
-==== Solution ==== 
  • 183_notes/examples/finalloccf.1405047516.txt.gz
  • Last modified: 2014/07/11 02:58
  • by caballero