The length of nylon rope from which a mountain climber is suspended has a force constant of 1.50 × 10ª N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 72.5 kg? 2.305 V 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? 0,55 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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Chapter1: Units, Trigonometry. And Vectors
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The length of nylon rope from which a mountain climber is suspended has a force constant of 1.50 x 104 N/m.
(a) What is the frequency at which he bounces, given his mass plus equipment to be 72.5 kg?
2.305
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?
0.55
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
Em
Transcribed Image Text:The length of nylon rope from which a mountain climber is suspended has a force constant of 1.50 x 104 N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 72.5 kg? 2.305 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? 0.55 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 Em
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