Surface area of a Planet based on gravatational acceleration and mass

AI Thread Summary
The discussion centers on calculating the extinction timeline of Oryx's minions on a spherical planet with a mass of 2.73 x 10^24 kg and a gravitational acceleration of 11.2 m/s^2. The planet supports approximately 840,000 minions per square kilometer, and players collectively kill 1,500 minions every second. Using the formula for gravitational acceleration and surface area, participants explore the implications of ceasing reproduction among the minions. The calculations aim to determine how many days it would take for the minion population to go extinct under these conditions. The analysis highlights the interplay between population density and player activity in the game.
renpei
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Realm of the Mad God actually takes place on a spherical planet where Oryx's minions thrive. This planet has a mass of 2.73 x 10^24 kg and a gravitational acceleration of 11.2 m/s^2 at its surface. Roughly 840,000 minions live per square kilometer. Together, the players of the realm kill 1500 minions per second

If all of the minions cease reproduction, how long would it take for Oryx's minions to go extinct (rounded to the nearest number of days)?
 
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renpei said:
Realm of the Mad God actually takes place on a spherical planet where Oryx's minions thrive. This planet has a mass of 2.73 x 10^24 kg and a gravitational acceleration of 11.2 m/s^2 at its surface. Roughly 840,000 minions live per square kilometer. Together, the players of the realm kill 1500 minions per second

If all of the minions cease reproduction, how long would it take for Oryx's minions to go extinct (rounded to the nearest number of days)?

g = GM/(r2), is a good place to start, followed by A = 4πr2
 

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