A 1.8 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.0 x 109 N/m2 and a radius of 20 x 10-6 m. Suppose that a 96-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m2) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?

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A 1.8 x 10-3-kg house spider is hanging vertically
by a thread that has a Young's modulus of 4.0 x
109 N/m2 and a radius of 20 x 10-6 m. Suppose
that a 96-kg person is hanging vertically on an
aluminum (Young's modulus 6.9 x 1010 N/m2)
wire. What is the radius of the wire that would
exhibit the same strain as the spider's thread,
when the thread is stressed by the full weight of
the spider?
Transcribed Image Text:A 1.8 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.0 x 109 N/m2 and a radius of 20 x 10-6 m. Suppose that a 96-kg person is hanging vertically on an aluminum (Young's modulus 6.9 x 1010 N/m2) wire. What is the radius of the wire that would exhibit the same strain as the spider's thread, when the thread is stressed by the full weight of the spider?
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