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!
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!
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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.
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.