Deriving Relativistic Momentum and Energy
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Description: Expressions for momentum and energy of a relativistic particle may be derived from the composition law for velocities along one spatial dimension.
[physics/0402024] Deriving relativistic momentum and energy Physics > Classical Physics Deriving relativistic momentum and energy ), last revised 15 Sep 2004 (this version, v3)) We present a new derivation of the expressions for momentum and energy of a relativistic particle. In contrast to the procedures commonly adopted in textbooks, the one suggested here requires only the knowledge of the composition law for velocities along one spatial dimension, and does not make use of the concept of relativistic mass, or of the formalism of four-vectors. The basic ideas are very general and can be applied also to kinematics different from the Newtonian and Einstein ones, in order to construct the corresponding dynamics.
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