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Monthly Archives: November 2010
Fundamental definitions in Mechanics
In this post I will write something about fundamental definitions in Physics with regard to (Classical) Mechanics. Classical Mechanics is based on the concepts absolute space and absolute time. A position in the absolute space is denoted as and time … Continue reading
Fractional calculus
In calculus we consider the idea where it is assumed that for certain such a limit is defined. An alternative notation is or . We may consider as an operator, let . Then . We can also say that . … Continue reading
Posted in Mathematics
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What amount of energy is required to maintain constant acceleration?
Given is a body that has a constant acceleration. Let the acceleration be . Let us assume that the body starts at rest. If so then the travelled distance is given by and the velocity is given by . So … Continue reading
Posted in Physics, Relativity, Special Relativity
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Does a body with constant acceleration exceed the speed of light?
Consider a body that has a constant acceleration. Does body exceeds the speed of light? Let the constant acceleration be . Assume that body starts at rest, then the travelled distance is given by and . So the critical time … Continue reading
Posted in Physics, Relativity, Special Relativity
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Transformations in Space-Time
What are inertial systems of reference? Why are transformations between inertial systems of reference linear? A simple analysis of transformations between systems of reference. We have two systems of reference, denoted by and . Each system has his own co-ordinates; … Continue reading
Relativistic acceleration due to a constant force
Consider a body with mass that is accelerated using a constant force acting on the body. Let the body start at rest, such that the momentum for . The force is given by . So if the force is constant, … Continue reading
Posted in Physics, Relativity, Special Relativity
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The Second postulate of Relativity; what are the implications?
The Second postulate of Relativity states that the speed of light has the same value in any inertial system of reference. The critical question is what is an inertial system of reference? We consider a simple device constructed by a … Continue reading
Posted in Relativity, Transformations
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Rybczyk transformations
It is well known that the Lorentz transformations lead to Einstein’s velocity addition equation. Rybczyk however, does not consider a transformation, but does have an alternative velocity addition equation. In this post, we shall derive the transformations that are associated … Continue reading
Posted in Millennium Relativity, Physics, Relativity
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Physics and Mathematics 