One mole of 'nickel (6 × 1023 atoms) has a mass of 59 grams, and its density is 8.90 grams per cubic centimeter, so the center-to-center distance between atoms is 2.23 x 10-10 m. You have a long thin bar of 'nickel, 2.3 m long, with a square cross section, 0.10 cm on a side. You hang the rod vertically and attach a 64 kg mass to the bottom, and you observe that the bar becomes 0.721 cm longer. From these measurements, it is possible to determine the stiffness of one interatomic bond in 'nickel.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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(a) What is the spring stiffness of the entire wire, considered as a single macroscopic (large scale), very stiff spring?

\( k_s = \) [Input box] N/m
Transcribed Image Text:(a) What is the spring stiffness of the entire wire, considered as a single macroscopic (large scale), very stiff spring? \( k_s = \) [Input box] N/m
**Title: Understanding the Interatomic Bonds in Nickel through Simple Experimentation**

**Introduction:**

One mole of nickel, equivalent to \(6 \times 10^{23}\) atoms, has a mass of 59 grams. The metal's density is specified as 8.90 grams per cubic centimeter. This means the center-to-center distance between individual atoms of nickel measures approximately \(2.23 \times 10^{-10}\) meters. 

**Experimental Setup:**

In this experiment, consider a long, thin bar of nickel, which measures 2.3 meters in length and has a square cross section with each side measuring 0.10 centimeters.

**Procedure:**

- The nickel rod is suspended vertically.
- A mass of 64 kilograms is attached to the lower end of the rod.
- Upon adding the mass, the rod lengthens, extending by an additional 0.721 centimeters.

**Objective:**

Using the extension measurement obtained by applying the mass, we aim to determine the stiffness of a single interatomic bond in the nickel rod. 

**Conclusion:**

The experiment involves calculating the stiffness of interatomic bonds, enhancing the understanding of atomic interactions in solid materials.
Transcribed Image Text:**Title: Understanding the Interatomic Bonds in Nickel through Simple Experimentation** **Introduction:** One mole of nickel, equivalent to \(6 \times 10^{23}\) atoms, has a mass of 59 grams. The metal's density is specified as 8.90 grams per cubic centimeter. This means the center-to-center distance between individual atoms of nickel measures approximately \(2.23 \times 10^{-10}\) meters. **Experimental Setup:** In this experiment, consider a long, thin bar of nickel, which measures 2.3 meters in length and has a square cross section with each side measuring 0.10 centimeters. **Procedure:** - The nickel rod is suspended vertically. - A mass of 64 kilograms is attached to the lower end of the rod. - Upon adding the mass, the rod lengthens, extending by an additional 0.721 centimeters. **Objective:** Using the extension measurement obtained by applying the mass, we aim to determine the stiffness of a single interatomic bond in the nickel rod. **Conclusion:** The experiment involves calculating the stiffness of interatomic bonds, enhancing the understanding of atomic interactions in solid materials.
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