Abstract
The expression for relativistic variation of mass with speed has been derived in the literature in the following ways: by considering the principles of electrodynamics; by considering elastic collision between two identical particles in which momentum and energy are conserved; or by more advanced methods such as the Lagrangian approach. However, in this paper, the same expression is derived simply by applying the law of conservation of momentum to the motion of a single particle that is subjected to a force (which may be non-electromagnetic) at some point in its trajectory. The advantage of this method is that, in addition to being simple, we can observe how the mass is increased from rest mass to relativistic mass when the speed is changed from 0 to a value of v, as only a single particle is involved in the analysis. This is in contrast to the two particles considered in most text books, in which one represents rest mass and the other represents relativistic mass.
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