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Both sides previous revision Previous revision Next revision | Previous revision | ||
183_notes:examples:two_students_colliding [2014/10/01 05:08] – pwirving | 183_notes:examples:two_students_colliding [2014/10/02 15:50] (current) – caballero | ||
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- | ===== Example: | + | ===== Example: |
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=Δx→vf+→vi2 | Δt=ΔxVavg=Δx→vf+→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 |