- #1
Kaoi
- 21
- 0
Okay, this was just a curious question that's been bobbing around in my head recently.
The formula for gravitational force between two masses is
[tex]F_{g} = G \frac{m_{1}m_{2}}{r^2}[/tex]
right?
So, gravitational force increases as you approach the center of the earth. I was wondering, what is the gravitational force at the exact center of the earth? I thought it could be approximated by
[tex]\lim_{r \rightarrow 0} G \frac{m_{1}m_{2}}{r^2} = \infty[/tex]
But I know that's wrong. I just don't know why. Why wouldn't there be infinite force at the center of the earth, and if there was, why wouldn't we collapse on ourself? :rofl:
The formula for gravitational force between two masses is
[tex]F_{g} = G \frac{m_{1}m_{2}}{r^2}[/tex]
right?
So, gravitational force increases as you approach the center of the earth. I was wondering, what is the gravitational force at the exact center of the earth? I thought it could be approximated by
[tex]\lim_{r \rightarrow 0} G \frac{m_{1}m_{2}}{r^2} = \infty[/tex]
But I know that's wrong. I just don't know why. Why wouldn't there be infinite force at the center of the earth, and if there was, why wouldn't we collapse on ourself? :rofl: