A 1.4 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.5 x 10⁹ N/m² and a radius of 17 x 10-6 m. Suppose that a 56-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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Q: Help me solve it step by step, thank you in advance .

A: 5.444mA   Detailed solution given below. In case of Doubts please do let me know Explanation:

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Q: THIS IS INCORRECT!!!! PLS STOP GIVING ME INCORRECT SOLUTIONS!!!!

A: As before, The force on the wire is given by F=iLB⇒ma=iLB⇒a=iLBm⇒v=at=iLBtm

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).