A35 Lectures 18-19 - Lecture 18 Donut Theorem a = acceleration v = velocity R = radius a = v2\/R To calculate acceleration of a planets orbit use v =

A35 Lectures 18-19 - Lecture 18 Donut Theorem a =...

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Lecture 18 Donut Theorem: a = acceleration v = velocity R = radius a = v 2 /R To calculate acceleration of a planet’s orbit, use v = 2 π R/t and plug into Donut Theorem equation. Newton’s Great Idea: The gravitational force between two objects is proportional to their masses , and decreases inversely as the square of the distance between them . F = Gm 1 m 2 /R 2 G = some number m 1 = mass of object 1 R = distance between the objects m 2 = mass of object 2 They both feel the same force, F , tugging on them. Comparing accelerations towards Earth’s surface: a 1 /a 2 = (R 2 2 /R 1 2 ) Where R = the respective distance of the object from the earth’s surface. THINGS TO KNOW ABOUT LECTURE #19 SLIDES: * Newton's Laws work well over a wide range of subjects...BUT Einstein's Theory of General Relativity is better. Incorporates Newton's Laws, but with new features; passes all experimental tests and governs our study of the universe * Predicted acceleration of the Moon: a = 2.76 x 10-4 g, or a = 2.7 x 10-3 m/s2. Actual acceleration of the Moon (from donut theorem): a = 2.7 x 10-3 m/s2. Agreement between
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