The length of nylon rope from which a mountain climber is suspended has a force constant of 1.55 x 10 N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 80.0 kg? 2.21 ✓ Hz (b) How much would this rope stretch to break the climber's fall, if he free-falls 2.00 m before the rope runs out of slack? 7.1 X Can you determine the kinetic energy of the climber at the instant when the rope runs out of slack? As the rope stretches, what types of potential energy are important? m (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce frequency Hz distance stretched m

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Chapter15: Oscillations
Section: Chapter Questions
Problem 37P: The length of nylon rope from which a mountain climber is suspended has an effective force constant...
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The length of nylon rope from which a mountain climber is suspended has a force constant of 1.55 x 10 N/m.
(a) What is the frequency at which he bounces, given his mass plus equipment to be 80.0 kg?
2.21
✓
Hz
(b) How much would this rope stretch to break the climber's fall, if he free-falls 2.00 m before the rope runs out of slack?
7.1
X
Can you determine the kinetic energy of the climber at the instant when the rope runs out of slack? As the rope stretches, what types of potential energy are important? m
(c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.
bounce frequency
Hz
distance stretched
m
Transcribed Image Text:The length of nylon rope from which a mountain climber is suspended has a force constant of 1.55 x 10 N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 80.0 kg? 2.21 ✓ Hz (b) How much would this rope stretch to break the climber's fall, if he free-falls 2.00 m before the rope runs out of slack? 7.1 X Can you determine the kinetic energy of the climber at the instant when the rope runs out of slack? As the rope stretches, what types of potential energy are important? m (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce frequency Hz distance stretched m
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