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Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread...

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 4.0×10^9 N/m^2.

Assuming that there is no appreciable space between the parallel strands, how many strands ?N would be needed to make a rope 8.8 m long that would stretch only 1.06 cm when supporting a pair of 89-kg mountain climbers?

Again assuming that there is no appreciable space between the parallel strands, what would be the diameter ? of the rope?

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