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.
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This is no Not equivalent
Sin(30°) =1/2 0.5
cos(30°) = (√3)/2
Note that the sin of an angle is equal to the cos of the complementary angle:
sin(60°) =cos(30°) = (√3)/2 since 30+60 = 90 (compl. angle)