The distance below the bridge that kate will eventually be hanging, once she stops oscillating and comes finally to rest is: d = mg/k + L.
<h3>Distance</h3>
LetForce exerted by a spring=F=kx
Let x = (d – L)
Let d= Total length of the bungee cord
Let set this equal to the gravitational force
F(spring) = k(d – L)
F(gravity) = mg
Hence:
k(d – L) = mg
(d – L) = mg/k
d = mg/k + L
Inconclusion the distance below the bridge that kate will eventually be hanging, once she stops oscillating and comes finally to rest is: d = mg/k + L.
