To answer the question, you first need to know what free energy is. Basically, free energy is the difference between the energy that will be taken by the free fall of an object and the energy that would result if this object were accelerated to the speed of light.
In other words, what is the energy available to fall a ball towards your face at a given time? That is to say, if you were to pick up a ball and drop it, what would be the energy to take a ball with the same height as the ball you dropped down and accelerate it to one inch per minute? As you can see, not much.
The first thing you should understand is that the first force that a ball of mass M, falls with (ignoring gravity) is given as:
The second force acting on the ball is the same as the first, which is given as:
This second force is proportional to the square of the distance between the ball and it is expressed as:
For any object M, this second force, also known as the acceleration of gravity as it is applied to the object, is given by:
When you apply this acceleration to the ball, the result is to generate a force P that is proportional to the square of the acceleration of gravity. For this ball of mass M and given the length L from the point of origin at a particular point b, the acceleration P is given as:
The gravitational acceleration acting at the location m of the ball m is:
The second force is just like the first, but that force is proportional to one for every degree that the ball travels, which is denoted as g:
The third force is also similar to the first but is proportional to the square of the distance between the ball and the point of origin. That is to say, the force on your face caused, once you are at the center of the ball, it is:
Thus, the fourth force is given as:
Now we get to the interesting part: how does the energy to fall the ball to your face at a given time change over time? Since we know that the time t can only be represented by the units of time and also the square root of x, we know that the energy at a certain point in time is given by:
The energy to be released at a particular time t, or times, is given as
That is a pretty straight-forward statement, and one that you can
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