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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 × 10° N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.0 m long that would stretch only 1.02 cm when supporting a pair of 87-kg mountain climbers? Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? N = d = strands cm
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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 × 10° N/m². Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to make a rope 8.0 m long that would stretch only 1.02 cm when supporting a pair of 87-kg mountain climbers? Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? N = d = strands cm
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