What is the force required to a steel wire to double its length when its area of cross-section is one sq. cm and Young's modulus is 200 G Pa. As the length of the wire is doubled, the change in length is equal to its original length.

What is the force required to a steel wire to double its length when its area of cross-section is one sq. cm and Young's modulus is 200 G Pa. As the length of the wire is doubled, the change in length is equal to its original length.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 85PQ

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Concept explainers

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).

Question

What is the force required to a steel wire to double its length when its area of cross-section is one
sq. cm and Young's modulus is 200G Pa. As the length of the wire is doubled, the change in length
is equal to its original length.

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