A 40.0-m-long steel elevator cable has a cross-sectional area of 4.0 × 10^(-4 )m^2 and is able to stretch 1.0 cm before breaking. If the elevator itself has a mass of 1000. kg, how many 70.0-kg people can safely ride in the elevator? (Ysteel = 2.0 × 10^ 11 N/m^2) a. 14 b. 16 c. 12 d. 18 e. NOTA

A 40.0-m-long steel elevator cable has a cross-sectional area of 4.0 × 10^(-4 )m^2 and is able to stretch 1.0 cm before breaking. If the elevator itself has a mass of 1000. kg, how many 70.0-kg people can safely ride in the elevator? (Ysteel = 2.0 × 10^ 11 N/m^2) a. 14 b. 16 c. 12 d. 18 e. NOTA

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 56PQ

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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 40.0-m-long steel elevator cable has a cross-sectional area of 4.0 × 10^(-4 )m^2
and is able to stretch 1.0 cm before breaking. If the elevator itself has a mass of
1000. kg, how many 70.0-kg people can safely ride in the elevator?
(Ysteel = 2.0 × 10^ 11 N/m^2)

a. 14

b. 16

c. 12

d. 18

e. NOTA

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