Imagine that the entire Sun collapses to a sphere of radius Rg such that the work required to remove a small mass m from the surface would be equal to its rest energy mc2. This radius is called the gravitational radius for the Sun. Find Rg. (It is believed that the ultimate fate of very massive stars is to collapse beyond their gravitational radii into black holes.)

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter2: Relativity Ii
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Imagine that the entire Sun collapses to a sphere of radius Rg such that the work required to remove a small mass m from the surface would be equal to its rest energy mc2. This radius is called the gravitational radius for the Sun. Find Rg. (It is believed that the ultimate fate of very massive stars is to collapse beyond their gravitational radii into black holes.)

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