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 x 10° N/m2. Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to N = strands make a rope 8.6 m long that would stretch only 1.06 cm when supporting a pair of 81-kg mountain climbers? Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? d = cm

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 27AP: The lintel of prestressed reinforced concrete in Figure P12.27 is 1.50 m long. The concrete encloses...
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Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically
2.0 um in diameter, and the silk has a Young's modulus of 4.0 x 10° N/m².
Assuming that there is no appreciable space between the
parallel strands, how many strands N would be needed to
N =
strands
make a rope 8.6 m long that would stretch only 1.06 cm when
supporting a pair of 81-kg mountain climbers?
Again assuming that there is no appreciable space between the
parallel strands, what would be the diameter d of the rope?
d =
cm
Question Source: Freedman College Physics 3e | Publisher: Mac
5:04 PM
69°E Partly sunny
Transcribed Image Text:Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 um in diameter, and the silk has a Young's modulus of 4.0 x 10° N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to N = strands make a rope 8.6 m long that would stretch only 1.06 cm when supporting a pair of 81-kg mountain climbers? Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? d = cm Question Source: Freedman College Physics 3e | Publisher: Mac 5:04 PM 69°E Partly sunny
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