A 64kg student bungee jumps off a bridge as shown using an ideal bungee cord with a spring constant of 22N/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? 84.5 m What is the student's maximum speed? unit 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? 148 unit Hint: Set up an equation for conservation of energy in terms of the stretch length (x) and givens only. Then solve the quadratic. 56m

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A 64kg student bungee jumps off a bridge as shown using an ideal bungee cord with a
spring constant of 22N/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?
84.5
m
What is the student's maximum speed?
unit
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?
148
unit
Hint: Set up an equation for conservation of energy in terms of the stretch length (x) and givens only. Then solve
the quadratic.
56m
Transcribed Image Text:A 64kg student bungee jumps off a bridge as shown using an ideal bungee cord with a spring constant of 22N/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? 84.5 m What is the student's maximum speed? unit 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? 148 unit Hint: Set up an equation for conservation of energy in terms of the stretch length (x) and givens only. Then solve the quadratic. 56m
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