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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