This is where

**comes in! Let's calculate just how much time you'll have.**

__EQNS__But before we can delve any deeper we have to make a few

__Assumptions__- The Earth is a sphere of radius 6.38 E+006 meters
- The Earth has a constant density of 5,510 kg m^-3
- Temperature doesn't vary (for your own safety)

__Computation__Let's start by determining the

**gravitational force**of the Earth:

**be defined as the mass of sphere between you and the center of the Earth,**

*m_1***be defined as your mass, and**

*m_2***be defined as the radius of the Earth. Because**

*r**m_1*changes as you fall deeper into the Earth we should rewrite the above formula in terms of constants. Let's rewrite it in terms of

**density**. Recall that:

*is proportional to*

**F***r*, or in other words the force increases linearly with depth. This is analogous to the force exerted by a spring!

*T*by 2 and plug in

**k**:

If you want to go into more detail on anything we discussed here, please be sure to read

**Wired's article**on this same subject matter.

Be sure to stay tuned to more

**blog posts**and to check out some interesting

**physics equations**on

**EQNS**.

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