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The mass of the mosquito illustrated above is 1.50 mg. It is moving at a speed of 1.40 m/s. The certainty of its speed is within + or - 0.01. Calculate the uncertainty in the location of the mosquito.
The strings:
S7P1A17 (Containership - Location). Ordinarily the mosquito is perceived as a single matter. In actuality almost all matter contain more than a single matter because they are composites of more than one atom and subatomic particles. It is in this sense that S7 is the space of interest.
The math:
Pj Problem of Interest is of type containership (location).
Werner Heisenberg Uncertainty Principle is the concept needed to solve this problem:
Werner Heisenberg (1901 -1976 A.D) was the discoverer of the natural limitation placed on ones ability to know simultaneously the exact momentum (mass x velocity) and the exact location of an object. This limitation is very important when the objects under consideration are subatomic particles (e.g. electrons). The Uncertainty Princple in the context of electrons states that one can not know simultaneously the exact momentum and the exact location of an electron in space. The exact knowledge of the momentum causes a probability knowledge of location and vice versa.
Heisenberg expressed this uncertainty mathematically as follows:
(Δx)(Δ(mv)) ≥ h/(4π) ---------------(1)
Δx ≥ h/[(4π)mΔv] ----------------(2)
Where Δx is the uncertainty in the location; Δ(mv) is the uncertainty in the momentum and h is Planck's constant.
So, substituting the information about the mosquito in equation (2), we have:
Δx ≥ (6.626 x 10-34 J-s)/[(12.57) x 0.01(1.50 x 10-6)]
So, Δx ≥ 4 x 10-27 m
So, Uncertainty in the location of mosquito , Δx ≥ 4 x 10-27.
The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
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