2) A wire made of an unknown alloy hangs from a support in the ceiling. You measure the relaxed length of the wire to be 1.6 m long, and the radius of the wire to be 0.00035 m. When you hang a 5 kg mass from the wire, you measure that it stretches a distance of 4 x 10-3 m. The average bond length between atoms is 2.3 x 10-10 m for this alloy. (a) If you treat the wire as a macroscopic spring, what is the overall spring stiffness of the wire? i. 30.6 N/m ii. 11.7 N/m iii. 1.2 x 104 N/m iv. 5.1 x 1010 N/m v. 2.1 x 1011 N/m

2) A wire made of an unknown alloy hangs from a support in the ceiling. You measure the relaxed length of the wire to be 1.6 m long, and the radius of the wire to be 0.00035 m. When you hang a 5 kg mass from the wire, you measure that it stretches a distance of 4 x 10-3 m. The average bond length between atoms is 2.3 x 10-10 m for this alloy. (a) If you treat the wire as a macroscopic spring, what is the overall spring stiffness of the wire? i. 30.6 N/m ii. 11.7 N/m iii. 1.2 x 104 N/m iv. 5.1 x 1010 N/m v. 2.1 x 1011 N/m

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 21.72AP: Review, (a) H it has enough kinetic energy, a molecule at the surface of the Earth can escape the...

See similar textbooks

Similar questions

A 30 kg mass is suspended from an aluminum wire of length 2.5 m and diameter of 1.5 mm. Byhow much does the wire stretch if the Y = 6.9 x 1010 N/m2
The normal force of the ground on the foot can reach three times a runner’s body weight when the foot strikes the pavement. By what amount does the 52-cm-long femur of an 80 kg runner compress at this moment? The cross-section area of the bone of the femur can be taken as 5.2 x 10-4 m2.
A certain wire, 3 m long, stretches by 1.2 mm when under tension 200 N. A wire with twice the diameter, 3 m long, made of the same material and under the same tension, stretches by what amount?
A wire of radius 1.4 mm and length 1.0 m is stretched between two poles 1.0 m apart. When a 8.0 kg mass is hung at its mid-point the wire sags by 2.0 cm. Calculate the Young’s modulus of the wire.
A certain wire, 3 m long, stretches by 1.2 mm when under tension 200 N. Does an equally thick wire 6 m long, made of the same material and under the same tension, stretch by
A metal bar’s dimensions are 1 in x 2 in. If the bar has a modulus of elasticity of 4.14x10^9 Pa, calculate the force (Newton) is required to stretch the bar elastically from 15 in. to 15.25 in. (Given 1 inch = 2.54 cm).
A spring, with a spring constant of 750 N/m, is hung vertically from the ceiling. If a mass of 500 kg is added to this spring, how much will it elongate?
A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is displaced laterally by 0.1 mm by a force of 2 x 106 dynes acting parallel to the surface, calculate the shear modulus of the material.
A vertical spring has a force constant of 150 N/m. By how much will the spring be compressed if a mass 1.30 kg is placed on top of it?
An elevator is suspended by a heavy steel cable. If this cable were replaced by two steel cables each having the same length as the original one but half its diameter, how would the amount of stretch in the pair of thin cables (st) compare with that of the original cable (so)?
A steel wire is 1.7 mm in diameter and 1m long, stretches by 0.37% when a mass is suspended from it. How much tension is felt by the steel wire?
A Foucault pendulum in a physics department (used to prove that the earth rotates) consists of a 120 kg steel ball that swings at the end of a 6.0-m-long steel cable. The cable has a diameter of 2.5 mm. When the ball was first hung from the cable, by how much did the cable stretch?