Convert 64,000 cm to m
2 answers:
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The cylinder's electric field magnitude, at a distance <em>r</em> from the axis of the cylinder (greater than the cylinder's radius), is equal to
Matter is the building block of everything that we encounter in our lives. Matter is made of atoms, which are in turn made of tiny particles which are called electrons, protons, and neutrons. The ammount of these 3 elements, and their topological configuration in the atoms, is what determines what a certain element is (like Carbon, Hydrogen, Iron, etc).
In some cases, some elements may lose or gain some electrons. Regarded that this missing or extra electrons are not very high in number, the material doesn't lose any of its properties, however it will always try to get its number of electrons back to normal. This is when we say that an element has a <em>charge</em>, which is a measure of how much electrons a body needs to get back to normal. A body has positive charge if it lacks electrons, and has negative charge if it has extra electrons.
This charge causes the material to have an Electric field, which is a measure of how much does it attract or repel electrons. In the case of our problem, we need to compute exactly that, the Electric field. In our problem, we have an infinitely long cylinder with a linear charge density , this means that all parts of the cylinder have the same charge, and due to symmetry, the electric field is constant on the angular and longitudinal directions of the cylinder.
This makes easy to apply Gauss' Law, since for a Gaussian curve in the shape of a concentric cylinder (with a higher radius than that of our charged cylinder) we can write:
Where is called the Electric flux. Since the electric field is constant for a given distance <em>r</em> from the axis of the cylinder we can write that:
Joining both our expressions we can get that:
- Description on Electric fields: brainly.com/question/8971780
- Relation between electric fields and magnetism: brainly.com/question/2838625
- How can we use electric charges: brainly.com/question/10427437
Electrons, protons, electric field, cylinder, electric flux
Answer:
6005803.83105 short tons
Explanation:
The definition of density is , and the volume of a pyramid is (confusingly written on the proposal)
, so we can write:
Where s is the side of the base, being the area of that square.
We will write everything in S.I., and the best way to convert units is using conversion factors, for example, since 1m=100cm, we know that , and we can use this factor to convert anything written in cm to anything written in m. Example:
Here we just multiplied 500cm by something that is equal to 1 (as every conversion factor must), so <em>it's not doing anything but changing the units</em>.
We can use this tool like this:
Where we have used the fact that (<u>we can elevate any conversion factor to any number and they still will be 1</u>) and where we have placed strategically what is the numerator and what in the denominator so the units we don't want cancel out and the units we want appear.
Substituting then our values:
And now we will convert to short tons using two conversion factors at the same time:
Remember, their value is 1, and we place the units to cancel the ones we don't want and keep the ones we want, here Kg cancel out, and lb cancel out, leaving the short tones.