183_notes:examples:mit_water_balloon_fight

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183_notes:examples:mit_water_balloon_fight [2014/10/10 20:41] – pwirving183_notes:examples:mit_water_balloon_fight [2014/10/11 06:03] (current) – pwirving
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 Surroundings: Surgical hose slingshot  Surroundings: Surgical hose slingshot 
  
-{{course_planning:|}}+{{course_planning:projects:water_balloon_fight.jpg?300}}
  
 === Solution === === Solution ===
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 And the initial and final conditions are: And the initial and final conditions are:
  
-Initial  = S_{max} \longrightarrow max stretch+Initial  = $S_{max} \longrightarrow$ max stretch
  
-Final = 0 \longrightarrow relaxed+Final = $0 \longrightarrow$ relaxed
  
 Sub in the force for hose into the equation for work done by a non constant force: Sub in the force for hose into the equation for work done by a non constant force:
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 $$ = \sqrt {\dfrac{k}{m}}S_{max}$$ $$ = \sqrt {\dfrac{k}{m}}S_{max}$$
  
-Sub in values for known variables and solve for v_{f}+Sub in values for known variables and solve for $v_{f}$
  
 $$ v_{f} = \sqrt {\dfrac{100N/m}{0.5kg}}  (3.5m)^2 \longrightarrow 50m/s = 111mph$$ $$ v_{f} = \sqrt {\dfrac{100N/m}{0.5kg}}  (3.5m)^2 \longrightarrow 50m/s = 111mph$$
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  • Last modified: 2014/10/10 20:41
  • by pwirving