After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 13 m long and 8.6 mm in diameter but has stretched by 3.0 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's modulus. (a) Number (b) Number (c) Number Units Units Units

After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 13 m long and 8.6 mm in diameter but has stretched by 3.0 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's modulus. (a) Number (b) Number (c) Number Units Units Units

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 68P: An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the...

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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

After a fall, a 100 kg rock climber finds himself dangling from the end of a rope that had been 13 m long and 8.6 mm in diameter but has
stretched by 3.0 cm. For the rope, calculate (a) the strain, (b) the stress, and (c) the Young's modulus.
(a) Number i
(b) Number
(c) Number
IN
i
Units
Units
Units

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