Book cover for College Physics Explore and Apply

College Physics Explore and Apply

Eugenia Etkina; Alan Van Heuvelen; Gorazd Planinši?

ISBN #9780134601823

2nd Edition

2,244 Questions

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46,660 Students Helped

Homework Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section on mechanical waves covers how disturbances propagate through various media by vibrating particles about their equilibrium positions. The mathematical framework of traveling waves describes how parameters such as amplitude, frequency, period, wavelength, and wave speed relate to each other. The phenomena of reflection, interference, and superposition lead to the creation of standing waves in strings and air columns, with applications ranging from musical instruments to Doppler radar and medical ultrasound. The Doppler effect further illustrates how relative motion between the source and observer results in perceived frequency shifts.

Learning Objectives

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Key Concepts

CONCEPT

DEFINITION

Atomic Physics

The study of atomic models and structure, detailing the evolution from classical orbit models (e.g., Bohr’s model) to quantum mechanics with quantized energy levels, quantum numbers, the uncertainty principle, and tunneling.

Example Problems

Example 1

Imagine that you and your friend pull tightly on the ends of a rope lying on a smooth floor. You shake your end of the rope, causing a transverse pulse. (a) Draw a displacement-versus-time graph representing the motion of your end of the rope. (b) Draw two displacement-versus-position graphs representing all of the points on the rope at two different clock readings.

Example 2

Explain the meaning of each symbol in the equation $$ y=A \cos \left[\frac{2 \pi}{T}\left(t-\frac{x}{v}\right)\right] $$ and summarize how we devised this equation.

Example 3

You have a sinusoidal wave that is described by the function $$ y=(0.2 \mathrm{m}) \sin \left[\frac{\pi}{2}\left(t+\frac{x}{20 \mathrm{m} / \mathrm{s}}\right)\right] $$ (a) Say everything you can about this wave. Pay attention to the positive sign in the equation. (b) Draw a $y$ -versus-t graph and a $y$ -versus- $x$ graph for the wave.

Example 4

A transverse wave of amplitude $3.0 \mathrm{cm},$ frequency $2.0 \mathrm{Hz}$, and speed $3.0 \mathrm{m} / \mathrm{s}$ travels on an infinitely long Slinky. How far apart are the two nearest points on the Slinky that at one particular time both have the maximum displacements from their equilibrium positions? Explain your reasoning.

Example 5

A boat is moving up and down in the ocean with a period of $1.7 \mathrm{s}$ caused by a wave traveling at a speed of $4.0 \mathrm{m} / \mathrm{s}$. What other physical quantities relevant to this wave can you determine using this information? Determine them.

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Step-by-Step Explanations

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Common Mistakes

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