- ma bungee jump, a person is strapped to a rope that can stretch somewhat slowly so that their descent is safely slowed (so the rope acts as ONE GIANT elastic spring). Assume the rope has a SPRING CONSTANT of 45.3 N/m, and the jumper was 67.5 kg. a) if the MAXIMUM allowable NET ACCELERATION on the rider is 19.82 m/s, how far will the rope stretch (x), and what TENSION FORCE (F,) is that develops in the rope? (HINT: a Free-Body Diagram might help here) C214) b) How fast was the jumper travelling before the rope started stretching? (Think CONSERVATION OF ENERGY)

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SIMPLE HARMONIC MOTION
2. In a bungee jump, a person is strapped to a rope that can stretch somewhat slowly so that their
descent is safely slowed (so the rope acts as ONE GIANT elastic spring). Assume the rope has a
SPRING CONSTANT of 45.3 N/m, and the jumper was 67.5 kg.
a) If the MAXIMUM allowable NET ACCELERATION on the rider is 19.82 m/s, how far will the
rope stretch (x), and what TENSION FORCE (F-) is that develops in the rope?
(HINT: a Free-Body Diagram might help here)
C214)
cațal
x%3D
b) How fast was the jumper travelling before the rope started stretching?
(Think CONSERVATION OF ENERGY)
Transcribed Image Text:SIMPLE HARMONIC MOTION 2. In a bungee jump, a person is strapped to a rope that can stretch somewhat slowly so that their descent is safely slowed (so the rope acts as ONE GIANT elastic spring). Assume the rope has a SPRING CONSTANT of 45.3 N/m, and the jumper was 67.5 kg. a) If the MAXIMUM allowable NET ACCELERATION on the rider is 19.82 m/s, how far will the rope stretch (x), and what TENSION FORCE (F-) is that develops in the rope? (HINT: a Free-Body Diagram might help here) C214) cațal x%3D b) How fast was the jumper travelling before the rope started stretching? (Think CONSERVATION OF ENERGY)
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