« previous | 14 of 18 | next Problem 10.71 Part A It\'s your birthday, and to ce

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« previous | 14 of 18 | next Problem 10.71 Part A It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 120 m above a raging river and attach a 33- m-long bungee cord to your haness. A bungee cord, for practical purposes, is just a long spring and this cord has a spring constant of 41 N/m Assume that your mass is 73 kg. After a long hesitation, you dive off the bridge. How far are you above the water when the cord reaches its maximum elongation? Express your answer with t units hValue Units Submit My Answers Give Up Continue

Explanation / Answer

Applying work - energy theorem,

Work done by gravity + work done by spring = change in KE

m g d + ( - k (d - 33)^2 / 2) = 0 - 0

73 x 9.8 x d - 41 (d - 33)^2 / 2 = 0

- 20.5 d^2 + 2068.4 d -22324.5 = 0

d = 88.6 m

distance from water level = 120 - d = 31.4 m

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