183_notes:examples:two_students_colliding

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183_notes:examples:two_students_colliding [2014/10/01 05:10] – pwirving183_notes:examples:two_students_colliding [2014/10/02 15:50] (current) – caballero
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-===== Example: Student Collision Example. =====+===== Example: Colliding Students =====
  
 Two students are running to make it to class. They turn a corner and collide; coming to a complete stop. What force did they exert on each other. Two students are running to make it to class. They turn a corner and collide; coming to a complete stop. What force did they exert on each other.
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 $ {\Delta t} = \dfrac{\Delta x}{{V}_{avg}} = \dfrac{\Delta x}{\dfrac{\vec{v}_{f} + \vec{v}_{i}}{2}} $ $ {\Delta t} = \dfrac{\Delta x}{{V}_{avg}} = \dfrac{\Delta x}{\dfrac{\vec{v}_{f} + \vec{v}_{i}}{2}} $
 +
 +Fill in the values for the variables from the assumptions and approximations you made previous.
  
 $ \dfrac{0.025}{\dfrac{5m/s + 0m/s}{2}} = 0.01s $ $ \dfrac{0.025}{\dfrac{5m/s + 0m/s}{2}} = 0.01s $
 +
 +Having solved for $ {\Delta t}$ fill this value and the known value for mass and the approximated value for velocity into the equation that we arranged earlier to find $ {F}_{x,coll}$
  
 $ {F}_{x,coll} = \dfrac{-M{V}_{ix}}{\Delta t} = - {\dfrac{(68kg)(5m/s)}{0.01s}}$ $ {F}_{x,coll} = \dfrac{-M{V}_{ix}}{\Delta t} = - {\dfrac{(68kg)(5m/s)}{0.01s}}$
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  • Last modified: 2014/10/01 05:10
  • by pwirving