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In which accelerated motion , the ki...

In which accelerated motion , the kinetic energy of a particle remain constant ?

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Statement 1: A charged particle undergoes non-rectilinear motion in a constant magnetic field. The only force acting on the particle is the magnetic force. Then kinetic energy of this particle remains constant but momentum of the particle does not remains constant. Statement 2: A force that always acts on the particle in direction perpendicular to its velocity does no work on the particle. But whenever a force acts on the particle, momentum of the particle does not remains constant.

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