Surface area of a Planet based on gravatational acceleration and mass

In summary, the game Realm of the Mad God takes place on a spherical planet with a mass of 2.73 x 10^24 kg and a gravitational acceleration of 11.2 m/s^2 at its surface. There are approximately 840,000 minions living per square kilometer and the players of the realm kill 1500 minions per second. Using the equations g = GM/(r2) and A = 4πr2, we can calculate that if all of the minions cease reproduction, it would take approximately 123,200 days for Oryx's minions to go extinct.
  • #1
renpei
1
0
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)?
 
Physics news on Phys.org
  • #2
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
 

FAQ: Surface area of a Planet based on gravatational acceleration and mass

Can the surface area of a planet be accurately determined using only its gravitational acceleration and mass?

Yes, the surface area of a planet can be accurately calculated using its gravitational acceleration and mass. This is because the surface area of a planet is directly proportional to its mass and inversely proportional to its gravitational acceleration.

How is the surface area of a planet affected by changes in its gravitational acceleration?

The surface area of a planet will decrease as its gravitational acceleration increases. This means that a planet with a higher gravitational acceleration will have a smaller surface area compared to a planet with a lower gravitational acceleration.

What is the formula for calculating the surface area of a planet based on its gravitational acceleration and mass?

The formula for calculating the surface area of a planet based on its gravitational acceleration (g) and mass (M) is: Surface Area = (4πGM)/g^2

Are there any other factors that can affect the surface area of a planet?

Yes, besides gravitational acceleration and mass, other factors such as the planet's rotation, shape, and composition can also affect its surface area. However, these factors have a smaller impact compared to gravitational acceleration and mass.

How does the surface area of a planet impact its overall size and habitability?

The surface area of a planet is directly related to its overall size. A larger surface area means a larger planet, while a smaller surface area means a smaller planet. As for habitability, a larger surface area allows for a larger habitable zone and more diverse environments for potential life to thrive.

Similar threads

What is the gravitational acceleration on the surface of Moon B?
Replies
1
Views
2K
Reasonable mass and surface gravity of fictional planet based on radius
Replies
15
Views
8K
How fast does the Earth need to move to provide centripital acceleration
2
Replies
43
Views
7K
Astrophysics project gone wrong: why isn't the moon tearing the Earth apart?
Replies
4
Views
3K
Mars Exploration-is Human Settlement Possible?
Replies
18
Views
7K
Seaport 2.5 Miles Above Sea Level(?)
Replies
10
Views
9K
Civilization of millions of rings.
Replies
3
Views
4K
Is my summary of these subjects correct?
Replies
0
Views
1K
Kerbal Space Program - Rocket Design Basics
Replies
2
Views
8K

Hot Threads

Recent Insights

Back
Top