183_notes:examples:two_students_colliding

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183_notes:examples:two_students_colliding [2014/10/01 05:08] 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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-In 1D: vavg=ΔxΔt=vf+vi2+In 1D this looks like: $\vec{v}_{avg} = \dfrac{\Delta x}{\Delta t} = \dfrac{\vec{v}_{f} + \vec{v}_{i}}{2}$ 
 + 
 +Relate these 3 equations together to solve for ${\Delta t}$
  
 Δt=ΔxVavg=Δxvf+vi2 Δt=ΔxVavg=Δxvf+vi2
 +
 +Fill in the values for the variables from the assumptions and approximations you made previous.
  
 0.0255m/s+0m/s2=0.01s 0.0255m/s+0m/s2=0.01s
 +
 +Having solved for Δt fill this value and the known value for mass and the approximated value for velocity into the equation that we arranged earlier to find Fx,coll
  
 Fx,coll=MVixΔt=(68kg)(5m/s)0.01s Fx,coll=MVixΔt=(68kg)(5m/s)0.01s
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  • Last modified: 2014/10/01 05:08
  • by pwirving