12 This is a stress-strain graph for a metal wire.1.61.4breaks1.2elastic limit1.00.80.60.40.22.04.06.08.010.012.0Strain /10-3Stress/ GPa14 The wire has a diameter of 0.84 mm and a natural length of 3.5 m.Use the graph to determine:athe Young modulus of the wirebthe extension of the wire when the stress is 0.60 GPathe force that causes the wire to break, assuming that thecross-sectional area of the wire remains constantdthe energy stored when the wire has a stress of 0.60 GPa.

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Answered: 2 This is a stress-strain graph for a…

2 This is a stress-strain graph for a metal wire. 1.6 1.4 breaks 1.2 elastic limit 1.0 0.8 0.6 0.4 0.2 2.0 4.0 6.0 8.0 10.0 12.0 Strain/10-3 Stress/GPa

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 52PQ

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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

12 This is a stress-strain graph for a metal wire.
1.6
1.4
breaks
1.2
elastic limit
1.0
0.8
0.6
0.4
0.2
2.0
4.0
6.0
8.0
10.0
12.0
Strain /10-3
Stress/ GPa
14

The wire has a diameter of 0.84 mm and a natural length of 3.5 m.
Use the graph to determine:
a
the Young modulus of the wire
b
the extension of the wire when the stress is 0.60 GPa
the force that causes the wire to break, assuming that the
cross-sectional area of the wire remains constant
d
the energy stored when the wire has a stress of 0.60 GPa.

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