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Reduce the following astronomical equations to proportionalities. Then, indentify how the left hand side of the equation will change when each variable increase by circling the correct answer. Equation Proportionality L = 4R²0T (L = Luminosity of Star) 4, T and o are constants R and T are variables When R increases, L: increases decreases When T increases, L: increases decreases Equation Proportionality 472a3 V GM (P = Orbital Period) 4, r and G are constants P = a and M are variables When a increases, P: increases decreases When M increases, P: increases decreases

Reduce the following astronomical equations to proportionalities. Then, indentify how the left hand side of the equation will change when each variable increase by circling the correct answer. Equation Proportionality L = 4R²0T (L = Luminosity of Star) 4, T and o are constants R and T are variables When R increases, L: increases decreases When T increases, L: increases decreases Equation Proportionality 472a3 V GM (P = Orbital Period) 4, r and G are constants P = a and M are variables When a increases, P: increases decreases When M increases, P: increases decreases

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I need help with knowing what to cirlce. The " increases      decreases" part.

A proportionality is useful because it tells you how the final answer will change when one of the variables changes. Let's consider the example above of the surface area of a sphere, S, which depends on the square of the sphere's radius, R2. When you write “S x R²," you are saying that the surface area of the sphere will increase if the radius (and, therefore, the square of the radius) increases. However, because all the constants have been removed, a proportionality does NOT tell you the final answer. It is incorrect to look at the expression “ S x R2» and think " S = R2". In fact, S = 47R². Remember: Proportionalities are for finding relations. Equations are for calculations. Here are few questions for you to practice turning equations into proportionalities: 8) Reduce the following astronomical equations to proportionalities. Then, indentify how the left hand side of the equation will change when each variable increase by circling the correct answer. Equation Proportionality L = 4TR?oT4 (L = Luminosity of Star) 4, T and o are constants R and T are variables When R increases, L: increases decreases When T increases, L: increases decreases Equation Proportionality 472a3 P = GM = Orbital Period) (P 4, T and G are constants a and M are variables When a increases, P: increases decreases When M increases, P: increases decreases
Transcribed Image Text:A proportionality is useful because it tells you how the final answer will change when one of the variables changes. Let's consider the example above of the surface area of a sphere, S, which depends on the square of the sphere's radius, R2. When you write “S x R²," you are saying that the surface area of the sphere will increase if the radius (and, therefore, the square of the radius) increases. However, because all the constants have been removed, a proportionality does NOT tell you the final answer. It is incorrect to look at the expression “ S x R2» and think " S = R2". In fact, S = 47R². Remember: Proportionalities are for finding relations. Equations are for calculations. Here are few questions for you to practice turning equations into proportionalities: 8) Reduce the following astronomical equations to proportionalities. Then, indentify how the left hand side of the equation will change when each variable increase by circling the correct answer. Equation Proportionality L = 4TR?oT4 (L = Luminosity of Star) 4, T and o are constants R and T are variables When R increases, L: increases decreases When T increases, L: increases decreases Equation Proportionality 472a3 P = GM = Orbital Period) (P 4, T and G are constants a and M are variables When a increases, P: increases decreases When M increases, P: increases decreases
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