F = d(m*v)/dt | (3.0 a) |
F = d(m)/dt * v + m * dv/dt | (3.0 b) |
F = m * a | (3.0 c) |
m = m0/ sqrt(1 - v^2/c^2) | (3.1) |
At Page 61 a different approach is followed in two occasions. Here it is assumed that the The principle of relativity is valid which leads to the conclusion that all clocks behave the same.
The question is if such logical reasoning is correct.
A similar issue is involved in case of an perpetum mobile. A perpetum mobile is a appartus which moves continues in a closed space. The principle is: that a perpetum mobile does exist. The prove is to build one to invalidate the principle.
In equation 3.1 the mass is influenced by the speed of light. The mass increases when the speed increases. This requires a physical explanation. Why light i.e. why photons?.
Rather similar comments apply when length is considerd. However here a different physical(?) phenomena is at stake: the length decreases when the speed increases.
The most difficult part of the equation is m0. This is the mass of a body that is not moving. But how do you know that?
What is the rest mass of the earth? of the Sun?. Both are moving objects in our Galaxy, as such the issue is not trivial.
In the context of Newton's Law, mass is a calculated parameter. The mass of each object is calculated based on the movements of a group of objects over a certain period of time. During this period the mass of each object is considered constant (and no collisions are considered). In order to calculate each mass equation 3.0c is used. This is a rather straight forward method.
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