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# For a (classical) simple harmonic oscillator with fi xedtotal energy E, fi nd the mean

ISBN: 9781133103721 454

## Solution for problem 53 Chapter 9

Modern Physics for Scientists and Engineers | 4th Edition

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Problem 53

For a (classical) simple harmonic oscillator with fi xedtotal energy E, fi nd the mean value of kinetic energyK and the mean value of potential energy V . Showthat K V E/2.

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2.1 Patterns in the Night Sky Monday, August 29, 2016 12:53 PM Discoveringthe Universe for Yourself • We used to believe in an system where everything revolvedaround the earth ○ Galileo was exoneratedfor writing otherwise • The sun rises and sets from east to west and so do the stars in a way What does the universe look like from Earth • With the naked eye, we can see more than 2000stars as well as the Milky Way ○ Have to get pretty far away from the light pollution of the city to really see most of what is possible • 88 constellationsfill the entire sky ○ (Same number of keys on a piano) ○ A constellation is a region of the sky • Star distances ○ The big dipper (ursa major)  Apparent shape of the big dipper traced on a plane 50 light years from earth  Closest being 63 light years away and furthest being 210 light years away ○ The brightest stars in a constellationmay actually be quite far away from each other • The celestial sphere ○ Stars at different distances all appear to lie of the celestial sphere ○ The ecliptic is the sun's apparent path through the celestial sphere ○ • The "ecliptic": Sun's apparent path among the stars ○ We see different stars at different time of the year  Zodiac signs and stars • The Milky Way ○ Band of light that makes a circle around the celestial sphere ○ What is it  Our view into the plane of

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