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.
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.
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter5: Further Applications Of Newton's Laws: Friction, Drag, And Elasticity
Section: Chapter Questions
Problem 31PE: (a) The "lead" in pencils is a graphite composition with a Young's modulus of about 1109 N/ m2....
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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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