GBE of Universe Hypothetical Question

[StarsHasDiscord]

This is a very oddly specific question, but if the Universe suddenly gained Earth's Gravity... as in ALL OF SPACE gets the 9.8 m/s pull of Earth all concentrated in the same direction... how heavy would the universe be? Would it be applicable for GBE since it's a consistent gravity throughout?

 

[Floxy178]

It depends on where pull will be 9.8 m/s², as it depends on how object is far away from center mass. If treating the universe as a single massive a sphere with uniform density and a radius of 47 billion light years and assume that pull is 9.8 m/s² at its surface(edge of universe), mass will be 2.9×10^64 kg. If it's 9.8 inside of universe result will be less than that.

 

[StarsHasDiscord]

It depends on where pull will be 9.8 m/s², as it depends on how object is far away from center mass. If treating the universe as a single massive a sphere with uniform density and a radius of 47 billion light years and assume that pull is 9.8 m/s² at its surface(edge of universe), mass will be 2.9×10^64 kg. If it's 9.8 inside of universe result will be less than that.

Huh... thank you I appreciate it! Is there a specific equation for that to equate for the new mass though? Need to calculate it for a blog and im a little lost.

 

[Floxy178]

Huh... thank you I appreciate it! Is there a specific equation for that to equate for the new mass though? Need to calculate it for a blog and im a little lost.

M = (g × R^2) / G
G is gravitational constant approximately 6.67 × 10^-11
R is distance between mass centers of objects

 

[Floxy178]

Im not 100% sure it will work like that also inside of the universe though. I will comment if I find something about this.

 

[Floxy178]

I think I made a mistake. If g is 9.8 inside of the universe, the result(needed mass) should be higher as less part of gravitational pull will affect the object. So if you don't know where it is 9.8, just use value above as a lowball assuming object is at the edge of the universe.

 

[StarsHasDiscord]

I think I made a mistake. If g is 9.8 inside of the universe, the result(needed mass) should be higher as less part of gravitational pull will affect the object. So if you don't know where it is 9.8, just use value above as a lowball assuming object is at the edge of the universe.

I ended up using the initial half universe radius since it should be gravitating to the center of the universe, ended up with 2.9166E+64 KG. Which is around where you got so it all checks out great, I really appreciate it you're a life saver

 

[Floxy178]

I ended up using the initial half universe radius since it should be gravitating to the center of the universe, ended up with 2.9166E+64 KG. Which is around where you got so it all checks out great, I really appreciate it you're a life saver

No problem, I'm happy it helped you