Wouldn't the maximum height be much less, based on the PEspring = PE gravity calculation

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
Problem 58P: What would be the Schwarzschild radius, in light years, if our Milky Way galaxy of 100 billion stars...
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Wouldn't the maximum height be much less, based on the PEspring = PE gravity calculation

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