It\'s your birthday, and to celebrate you\'re going to make your first bungee ju
ID: 1781403 • Letter: I
Question
It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 110 m above a raging river and attach a 35-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 45 N/m . Assume that your mass is 78 kg . After a long hesitation, you dive off the bridge.
How far are you above the water when the cord reaches its maximum elongation?
Submitted Answers ANSWER 1: Deduction:-3% h = 67.996 m ANSWER 2: Deduction:-3% h= 57.996 m ANSWER 3: Deduction:-3% h = 58.0 m ANSWER 4: Deduction:-3% h= 40.52 m ANSWER 5: Deduction:-3% h= 41.5mExplanation / Answer
By Conservation of energy
mghi=(1/2)Kx2+mghf
78*9.81*110=78*9.81*x+(1/2)(45)(75-x)2
84170=765.18x+22.5(5625-150x+x2)
84170=765.18+126562.5-3375x+22.5x2
22.5x2-2609.82x+42392.5=0
x=19.53 m
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