The Theorem of Addition of Velocities and its Employment in the Classical Mechanics
Hello Friends, here comes the next Lesson in which we will study about the theorem of addition of velocities which we will later discover to be a wrong one. Actually this theorem was considered true by the supporters of Classical Mechanics. To understand the thing better, let us suppose our old friend, the railway carriage, to be travelling along the rails with a constant velocity V. And now, suppose an observer inside the carriage starts walking with a velocity W. If I now raise a question that how quickly the man will be travelling with respect to the embankment ,the only possible answer is the result of the following consideration: If the man were to stand still, he would have traveled with an equal velocity as the carriage with respect to the embankment.Thus his velocity comes out to be V. But when the man starts walking with a velocity W, he transverses an additional distance with respect to the carriage as well as with respect to the embankment. Hence his velocity with respect to the embankment becomes V+W. This result seems o be quite satisfying and easy to all but later we would discover that this theorem is very wrong.
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