Isaac Newton published his work on gravity in the Philosophiæ Naturalis Principia Mathematica (Latin for Mathematical Principles
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To solve this problem it is necessary to apply the concepts related to the Force since Newton's second law, as well as the concept of Electromagnetic Force. The relationship of the two equations will allow us to find the magnetic field through the geometric relations of density and volume.
Where,
B = Magnetic Field
I = Current
L = Length
<em>Note: is a direct adaptation of the vector relation
</em>
From Newton's second law we know that the relation of Strength and weight is determined as
Where,
m = Mass
g = Gravitational Acceleration
For there to be balance the two forces must be equal therefore
Our values are given as,
Diameter
Radius
Magnetic Field
From the relationship of density another way of expressing mass would be
At the same time the volume ratio for a cylinder (the shape of the wire) would be
Replacing this two expression at our first equation we have that:
Re-arrange to find I
We have for definition that the Density of copper is , gravity acceleration is
and the values of magnetic field (B) and the radius were previously given, then:
The current is too high to be transported which would make the case not feasible.