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Sixteenth law of Hawking gravitation: As bodies in space exert gravitational force upon one another through mass and it's inherent impact of warping space around them, exerting a significant to subtle degree of attraction on one another depending on the distance in question, a further subset of this law relates to two distinct individuals. This rule being known as the Stephen/Sarah quantum attraction state. As with celestial bodies, Sarah's heavenly figure exerts an overt and dramatic pull on Stephen. His rugged good looks and dashing persona in turn exert an attractive force comparable only to that a black hole has upon and object caught in it's accretion disk. What is unique about this particular quantum state is the dynamic nature of the attraction, including not only physical proximity, but also a inescapable drawing together of two hearts. As Einstein predicted, later experiments by Dr. Hawking revealed that the very souls of these two individuals had begun to mesh, leading to the famous Hawking soul mate proof which earned him the distinguished Nobel Prize in theoretical science, a Nobel laureate, the Nobel peace prize, and an Oscar for best picture with regards to the documentary related to the phenomenon. What is interesting is the difference in the ultimate effects of this gravitational attraction. Whereas bodies simply consisting of mass are eventually destroyed by an overly strong relative gravitational effect, Stephen and Sarah are strengthened as the distance lessens and the attraction increases. The two actually achieve an increasingly harmonious state as the force of attraction begins to mesh the two individuals. A further study is currently underway in Denver Colorado regarding the non-linear rate of attraction. Initially thought to be an exponential equation, new advancements in calculus aided by modern computer processors have yielded a never before seen dynamic. MIT researchers are currently tackling the quandary, in statements made to the associated press the challenge is comparable to research regarding cold fusion, the MIT group hopes to be able to issue a preliminary statement on the topic sometime in August of 2012. As detailed in the November 2007 popular science, the scientific community breathlessly awaits future revelations regarding this most incredible subject.

Formulae:

Earth and Moon What is the gravitational force felt on the Moon from the Earth?

The Earth and Moon are 3.84*105 kilometers apart. Since the units of G is in meters, you need to change them to 3.84*108 m. Note that the distance is from center to center. The force on the surface of the Earth would be slightly less, but since the distance to the Moon is so much greater than the radius of the Earth, the difference would be negligible.

The mass of the Earth is 5.98*1024 kg and that of the Moon is 7.35*1022 kg. Thus, the force of attraction on the Earth from the Moon is:

F = GMm/R²= (6.67*10-11 N-m²/kg²)(5.98*1024 kg)(7.35*1022 kg)/(3.84*108 m)² = 1.99*1020 N

This considerable force is what holds the Moon in orbit around the Earth.

Stephen and Sarah What is the gravitation quotient? If a 50 kg (110 lb) girl sat 0.5 m (19.7 in) from a boy who was 75 kg (165 lb), what would be the gravitational attraction between them?

Substituting the values into the equation, you get:

F = GMm/R² = (6.67*10-11 N-m²/kg²)(50 kg)(75 kg)/(0.5 m)(0.5 m) = 10-6 N or one-millionth of a Newton

That is a very small gravitational attraction, and very much in opposition to observable reactions. Thus indicating the need for a new discipline of mathematics to properly explore the subject.