model, 7momentumcompared to kinetic energy, 47conservation of, 42relativistic, 87moondistance to, 145gravitational field experienced by, 28orbit, 53motionperiodic, 164muons, 82nano- (metric prefix), 11Neanderthals, 70neutral (electrically), 99newton (unit), 49Newton, Isaac, 95, 153apple myth, 28law of gravity, 27third law, 49Noether’s theorem, 8for angular momentum, 70for energy, 29for momentum, 45Noether, Emmy, 8nuclear energy, 23Oersted, Hans Christian, 117ohm (unit), 107Ohm’s law, 107ohmicdefined, 107open circuit, 103Optics, 28Orion Nebula, 24parabola, 52parallax, 144parallel circuitdefined, 110particle model of light, 138perioddefined, 164Principia Mathematica, 28principle of superposition, 166projectile motion, 52pulsedefined, 166Pythagoras, 134ray diagrams, 140ray model of light, 138reflectiondiffuse, 138specular, 140relativityand magnetism, 118principle of, 75resistance, 106retina, 152reversibility, 146RHIC accelerator, 85Roemer, 135rotational symmetry, 15schematics, 109scientific notation, 12sea-of-arrows representation, 116series circuitdefined, 110short circuitdefined, 109simultaneity, 80sinks in fields, 116Sokal, Alan, 33sound, 170energy, 22speed of, 169sources of fields, 116spacerelativistic effects, 79spring constant, 165sunspots, 123supernovae, 82symmetry, 7rotational, 15time, 29translation, 40Système International, 11timerelativistic effects, 77time reversal, 146time symmetry, 29torquedefined, 68transformer, 126186 Index
twin paradox, 83units, conversion of, 13velocityaddition of, 19, 76relativistic, 86vision, 134volt (unit)defined, 104voltage, 103Voyager space probe, 92waveelectromagnetic, 128wave model of light, 138wavelength, 128work, 59Wu, Chien-Shiung, 8Index 187
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copyright 2006 Benjamin Crowellrev.
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ContentsMomentum compared to kineti
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Chapter 1Conservation of Mass andEn
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1.2 Conservation of MassWe intuitiv
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masses on the spring, and they both
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A common source of confusion is the
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Discussion questionA Each of the fo
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l / Galileo Galilei was the first p
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that this wasn’t really an argume
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the girl on the left goes up a cert
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1. kinetic energy2. gravitational e
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In fact, your body uses up even mor
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kinetic energy is twice as much. Bu
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ather than flying off straight. New
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of mass?Actually they’re not even
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ecause the square of the speed of l
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ProblemsKey√∫⋆A computerized
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13 How high above the surface of th
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Chapter 2Conservation ofMomentumFan
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win the Martian version of the Nobe
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a / How can we prove that this coll
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all.This is exactly like the rules
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Unequal masses example 4⊲ Suppose
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ForceDefinition of forceWhen moment
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ent relationship:(fingers on scale)
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pressed in modern units). If the ea
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p / A bowling ball is in the back o
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Kepler’s law of periodsLet T , ca
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2.5 WorkImagine a black box 8 , con
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ProblemsKey√∫⋆A computerized
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A tornado touches down in Spring Hi
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pensated for by an overall increase
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Kepler’s equal-area law example 4
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Torque distinguished from forceOf c
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ProblemsKey√∫⋆A computerized
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Chapter 4RelativityComplaining abou
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motion of the apparatus. For instan
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fore Einstein. In fact, George Fitz
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We are used to thinking of time as
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j / In the garage’s frame of refe
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is now sufficiently advanced to all
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astronauts had twin siblings back o
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The derivation of the correct relat
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efore the collision0 1.60.9 0.7afte
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e the same as they always were. The
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(b) Show that your result is approx
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Chapter 5ElectricityWhere the teles
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to the egg.Luckily, we now know eno
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“A” as negative, but it really
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The main subtlety involved in this
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Note that an example like g/3 does
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⊲ An ampere-hour is a unit of cur
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portional to the voltage difference
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ing your feet on a carpet, and then
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ProblemsKey√∫⋆A computerized
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This sunspot is a product of the su
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directions strongly evokes wave met
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The electric fieldThe definition of
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trical interaction. This seems like
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except that the bottom charge is no
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q / The force on a charged particle
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time it took for the black coil’s
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charge, there will be magnetic fiel
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z / Panel 1 shows the electromagnet
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used to make images of individual a
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Chapter 7The Ray Model of Light7.1
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