Spiderweb An orb weaver spider with a mass of 0.25 g hangs vertically by one of its threads. The thread has a Young's modulus of 4.6×109 N/m^2 and a radius of 8.4×10−6 mm . A. What is the fractional increase in the thread's length caused by the spider?  B. Suppose a 86 kg person hangs vertically from a nylon rope. What radius must the rope have if its fractional increase in length is to be the same as that of the spider's thread? Assume that Young's modulus for nylon is 0.37×10^10 N/m^2.

Question

Spiderweb An orb weaver spider with a mass of 0.25 g hangs vertically by one of its threads. The thread has a Young's modulus of 4.6×109 N/m^2 and a radius of 8.4×10−6 mm .

A. What is the fractional increase in the thread's length caused by the spider? 

B. Suppose a 86 kg person hangs vertically from a nylon rope. What radius must the rope have if its fractional increase in length is to be the same as that of the spider's thread? Assume that Young's modulus for nylon is 0.37×10^10 N/m^2.

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SciencePhysics

Mechanical Properties of Matter