Question

Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 μm2.0 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 ? would be needed to make a rope 8.8 m long that would stretch only 1.10 cm when supporting a pair of 83-kg mountain climbers?

?=

strands

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

?=

cm

Step 1

(a)

Write the expression for young’s modulus of the material.

Step 2

Find the area of the cocoons formed from silk.

Step 3

Substituting the...

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