It\'s your birthday, and to celebrate you\'re going to make your first bungee ju

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 44 N/m . Assume that your mass is 72 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 the appropriate units.

Explanation / Answer

by third equation of motion

v^2 = u^2 + 2as

v^2 = 0 + 2 * 9.8 * 35

v = 26.191 m/s

by conservation of energy

initial energy = final energy

0.5 * mv^2 = 0.5 * kx^2

72 * 26.191^2 = 44 * x^2

x = 33.5 m

distance above the water = 110 - (35 + 33.5)

distance above the water = 41.5 m

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.