A sky diver plans to bungee jump from a tower 74.0 m above the ground. She plans to use a uniform elastic cord, tied to a harness around her body, to stop her fall at a point 11.0 m above the water. Model her body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test she finds that when hanging at rest from a 5.00 m length of the cord, her body weight stretches it by 1.25 m. She will drop from rest at the point where the top end of a longer section of the cord is attached to the tower. (a) What length of cord should she use? m (b) What maximum acceleration will she experience? m/s²

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.19P
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A sky diver plans to bungee jump from a tower 74.0 m above the ground. She plans to use a uniform elastic cord, tied to a harness around
her body, to stop her fall at a point 11.0 m above the water. Model her body as a particle and the cord as having negligible mass and
obeying Hooke's law. In a preliminary test she finds that when hanging at rest from a 5.00 m length of the cord, her body weight stretches
it by 1.25 m. She will drop from rest at the point where the top end of a longer section of the cord is attached to the tower.
(a) What length of cord should she use?
m
(b) What maximum acceleration will she experience?
m/s²
Transcribed Image Text:A sky diver plans to bungee jump from a tower 74.0 m above the ground. She plans to use a uniform elastic cord, tied to a harness around her body, to stop her fall at a point 11.0 m above the water. Model her body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test she finds that when hanging at rest from a 5.00 m length of the cord, her body weight stretches it by 1.25 m. She will drop from rest at the point where the top end of a longer section of the cord is attached to the tower. (a) What length of cord should she use? m (b) What maximum acceleration will she experience? m/s²
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