A violin string has a radius of 4.1 x 10* m. During tuning, 32.5 cm of the string is placed under a tension of 83 N. If the ultimate tensile strength of the violin string is 2.4 x10° N/m?, how much total force can the string withstand before it breaks? 1.97 x 106 N B) 1270 N 2.4 x 10° N 5070 N

A violin string has a radius of 4.1 x 10* m. During tuning, 32.5 cm of the string is placed under a tension of 83 N. If the ultimate tensile strength of the violin string is 2.4 x10° N/m?, how much total force can the string withstand before it breaks? 1.97 x 106 N B) 1270 N 2.4 x 10° N 5070 N

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 39PQ: A uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2....

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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

A violin string has a radius of 4.1 x 10 m. During tuning, 32.5 cm of the string is placed under a tension of 83 N. If the
ultimate tensile strength of the violin string is 2.4 x10° N/m2, how much total force can the string withstand before it
breaks?
A) 1.97 x 106 N
B12
1270 N
©
2.4 x 10° N
D) 5070 N

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