Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.2 m long that would stretch only 1.02 cm when supporting a pair of 91-kg mountain climbers? N = Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? strands d = cm
Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.2 m long that would stretch only 1.02 cm when supporting a pair of 91-kg mountain climbers? N = Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? strands d = cm
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 41PQ: In Example 14.3, we found that one of the steel cables supporting an airplane at the Udvar-Hazy...
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![Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically
2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m².
Assuming that there is no appreciable space between the
parallel strands, how many strands N would be needed to
make a rope 8.2 m long that would stretch only 1.02 cm when
supporting a pair of 91-kg mountain climbers?
N =
Again assuming that there is no appreciable space between
the parallel strands, what would be the diameter d of
the rope?
strands
d =
cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa727bc68-bd3c-4026-9788-28e705cd1379%2Fcf8ed4f2-dd6b-4867-b705-dad1bea01e31%2Fmkp1ha_processed.png&w=3840&q=75)
Transcribed Image Text:Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically
2.0 µm in diameter, and the silk has a Young's modulus of 4.0 × 10⁹ N/m².
Assuming that there is no appreciable space between the
parallel strands, how many strands N would be needed to
make a rope 8.2 m long that would stretch only 1.02 cm when
supporting a pair of 91-kg mountain climbers?
N =
Again assuming that there is no appreciable space between
the parallel strands, what would be the diameter d of
the rope?
strands
d =
cm
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