- #1

- 21

- 0

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: