**Physics Problem: Gravitational Contraction and Density****Problem Statement:**Suppose two worlds, each having mass \( M \) and radius \( R \), coalesce into a single world. Due to gravitational contraction, the combined world has a radius of only \( \frac{3}{4} R \). What is the average density of the combined world as a multiple of \( \rho_0 \), the average density of the original two worlds?**Controls:**- **Input box**: An empty box is provided for entering the answer.- **Help Section**: - A "Need Help?" prompt is present next to a "Read It" button, which may offer additional hints or explanations.- **Optional Work Area**: - A collapsible "Show My Work" section is available for users to provide detailed steps or calculations.**Note**: Make sure to use any additional resources or instructions available if you need assistance with the problem.

Given : Mass of each world = M Radius of each world = R Volume of each world = 43 π R3…

Suppose two worlds, each having mass M and radius R, coalesce into a single world. Due to gravitational contraction, the combined world has a radius of only 4R. What is the average density of the combined world as a multiple of po, the average density of the original two worlds?

Suppose two worlds, each having mass M and radius R, coalesce into a single world. Due to gravitational contraction, the combined world has a radius of only 4R. What is the average density of the combined world as a multiple of po, the average density of the original two worlds?

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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Concept explainers

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

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**Physics Problem: Gravitational Contraction and Density**

**Problem Statement:**

Suppose two worlds, each having mass \( M \) and radius \( R \), coalesce into a single world. Due to gravitational contraction, the combined world has a radius of only \( \frac{3}{4} R \). What is the average density of the combined world as a multiple of \( \rho_0 \), the average density of the original two worlds?

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**Note**: Make sure to use any additional resources or instructions available if you need assistance with the problem.

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