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Introduction to SAT II Physics - FreeExamPapers

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Einstein also derived his most famous equation from the principles of relativity. Mass and<br />

energy can be converted in<strong>to</strong> one another. An object with a rest mass of<br />

can be<br />

converted in<strong>to</strong> an amount of energy, given by:<br />

We will put this equation <strong>to</strong> work when we look at nuclear physics.<br />

Relativity and Graphs<br />

One of the most common ways <strong>SAT</strong> <strong>II</strong> <strong>Physics</strong> tests your knowledge of special relativity is<br />

by using graphs. The key <strong>to</strong> remember is that, if there is a dotted line representing the<br />

speed of light, nothing can cross that line. For instance, here are two graphs of kinetic<br />

energy vs. velocity: the first deals with normal speeds and the second deals with<br />

relativistic speeds:<br />

In the first graph, we get a perfect parabola. The second graph begins as a parabola, but<br />

as it approaches the dotted line representing c, it bends so that it constantly approaches c<br />

but never quite <strong>to</strong>uches it, much like a y = 1/x graph will constantly approach the x-axis<br />

but never quite <strong>to</strong>uch it.<br />

The Discovery of the A<strong>to</strong>m<br />

The idea that matter is made up of infinitely small, absolutely simple, indivisible pieces is<br />

hardly new. The Greek thinkers Leucippus and Democritus suggested the idea a good 100<br />

years before Aris<strong>to</strong>tle declared it was nonsense. However, the idea has only carried<br />

scientific weight for the past 200 years, and it only really <strong>to</strong>ok off in the past century.<br />

Thompson’s “Plum Pudding” Model<br />

The first major discovery that set off modern a<strong>to</strong>mic theory was that a<strong>to</strong>ms aren’t in fact<br />

the smallest things that exist. J. J. Thompson discovered the electron in 1897, which led<br />

him <strong>to</strong> posit a “plum pudding” model (a.k.a. the “raisin pudding” model) for the a<strong>to</strong>m.<br />

Electrons are small negative charges, and Thompson suggested that these negative<br />

charges are distributed about a positively charged medium like plums in a plum pudding.<br />

The negatively charged electrons would balance out the positively charged medium so<br />

that each a<strong>to</strong>m would be of neutral charge.<br />

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