A 67kg student bungee jumps off a bridge as shown using an ideal bungee cord with a spring constant of 16N/m. The natural length of the bungee cord is shown. Neglect energy gained from the jump and neglect loss until the student rebounds. How long is the cord when she reaches maximum speed? m What is the student's maximum speed? m/s Hint: The student stops gaining speed when the spring force is equal to her weight. Find this location, then apply conservation of energy with the reference level at this height. What is the length of the cord when the student reaches her lowest point? m Hint: Set up an equation for conservation of energy in terms of the stretch length (x) and givens only. Then solve the quadratic.

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11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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A 67kg student bungee jumps off a bridge as shown using an ideal bungee cord
with a spring constant of 16N/m. The natural length of the bungee cord is shown.
Neglect energy gained from the jump and neglect loss until the student rebounds.
How long is the cord when she reaches maximum speed?
48m
What is the student's maximum speed?
m/s
Hint: The student stops gaining speed when the spring force is equal to her weight. Find this location, then
apply conservation of energy with the reference level at this height.
What is the length of the cord when the student reaches her lowest point?
m
Hint: Set up an equation for conservation of energy in terms of the stretch length (x) and givens only. Then
solve the quadratic.
Transcribed Image Text:A 67kg student bungee jumps off a bridge as shown using an ideal bungee cord with a spring constant of 16N/m. The natural length of the bungee cord is shown. Neglect energy gained from the jump and neglect loss until the student rebounds. How long is the cord when she reaches maximum speed? 48m What is the student's maximum speed? m/s Hint: The student stops gaining speed when the spring force is equal to her weight. Find this location, then apply conservation of energy with the reference level at this height. What is the length of the cord when the student reaches her lowest point? m Hint: Set up an equation for conservation of energy in terms of the stretch length (x) and givens only. Then solve the quadratic.
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