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Matt123456789
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Homework Statement
Imagine that you have been given the job of desiging a new bungee jumping platform. Customers of mass 53.0 kg will step off a platform, attached to a rope of unstretched length 52.6 m and spring constant 17.0 n/m.
How far below the platform will the end of end of the rope get during a jump? This is the lowest point it will ever reach, not where it settles down.
You may assume that g=9.8 m s-2.
Homework Equations
PE=mgh
KE=0.5mv^2
Spring energy=0.5kd^2
The Attempt at a Solution
- Set the distance from platform to when rope first goes taut as H, distance from H to to lowest point as L
- rearranged equations to get mgh=0.5kL^2-mgL
- also tried mgh=0.5kd^2 and solve for d
- got 90.6 and 91.5, both wrong, no idea what to do now