Homework Help is Here – Start Your Trial Now!
Science
Physics
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

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 6P: Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 ...
See similar textbooks
icon
Related questions
icon
Concept explainers
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Stellar evolution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS