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183_notes:examples:mit_water_balloon_fight [2014/10/10 20:41] – pwirving | 183_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 |
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{{course_planning:|}} | {{course_planning:projects:water_balloon_fight.jpg?300}} |
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=== Solution === | === Solution === |
And the initial and final conditions are: | And the initial and final conditions are: |
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Initial = S_{max} \longrightarrow max stretch | Initial = $S_{max} \longrightarrow$ max stretch |
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Final = 0 \longrightarrow relaxed | Final = $0 \longrightarrow$ relaxed |
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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: |
=√kmSmax
| =√kmSmax
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Sub in values for known variables and solve for v_{f} | Sub in values for known variables and solve for $v_{f}$ |
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vf=√100N/m0.5kg(3.5m)2⟶50m/s=111mph
| vf=√100N/m0.5kg(3.5m)2⟶50m/s=111mph
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