Birthday, Bungee Jump, Mastering Physics..Please help!
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Birthday, Bungee Jump, Mastering Physics..Please help!

[From: ] [author: ] [Date: 11-10-09] [Hit: ]
A) How far are you above the water when the cord reaches its maximum elongation?I have tried a few different equations on this and nothing has been the correct answer!! Please Help!P.E.......
It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 100 m above a raging river and attach a 30-m-long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 43 N/m. Assume that your mass is 80 kg. After a long hesitation, you dive off the bridge.

A) How far are you above the water when the cord reaches its maximum elongation?


I have tried a few different equations on this and nothing has been the correct answer!! Please Help!

-
Y = distance you fall
E = elongation of the bungee
k = 43 N/m
L = 30 m
m = 80 kg

P.E. = S.E.
m*g*Y = ½*k*E² = ½*k(Y - L)²
Solving this quadratic in Y,

Y = 86 m

A) D = 100 - 86 = 14 m above the water.
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keywords: Please,Bungee,help,Birthday,Mastering,Jump,Physics,Birthday, Bungee Jump, Mastering Physics..Please help!
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