(c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce | 1.618 Hz frequency 0.698 distance How is the force constant for the new longer rope related to the force constant for the shorter rope? Can y shorter rope from part (b) in order to determine the stretch for the new longer rope? m stretched

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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?
0.485
m
(c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.
bounce
1.618
Hz
frequency
0.698
distance
How is the force constant for the new longer rope related to the force constant for the shorter rope? Can you fine
shorter rope from part (b) in order to determine the stretch for the new longer rope? m
stretched
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? 0.485 m (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce 1.618 Hz frequency 0.698 distance How is the force constant for the new longer rope related to the force constant for the shorter rope? Can you fine shorter rope from part (b) in order to determine the stretch for the new longer rope? m stretched
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