Consider a self-gravitating collection of particles. In such a situation, the mean kinetic energy of the particles will be 1/2 mv^2 = GM / 2R. This is approximate, and arises from something called the virial theorem that you will learn in upper level undergraduate classical mechanics. From this information, figure out what fraction of particles will be above the escape velocity from the collection of particles. (This calculation is relevant for understanding why star clusters evaporate over time).

Consider a self-gravitating collection of particles. In such a situation, the mean kinetic energy of the particles will be 1/2 mv^2 = GM / 2R. This is approximate, and arises from something called the virial theorem that you will learn in upper level undergraduate classical mechanics. From this information, figure out what fraction of particles will be above the escape velocity from the collection of particles. (This calculation is relevant for understanding why star clusters evaporate over time).

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter5: Relativity

Section: Chapter Questions

Problem 105AP: What is for a proton having amass energy of 938.3 MeV accelerated through an effective potential of...

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