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A particle of mass m can move along x -a...

A particle of mass `m` can move along `x` -axis of co-ordinate frame in a force field of stationary sources. Potential energy ' `U` of system varies wita position `x` of the particle according to the equation `U=k|x|`, where `k` is a positive constant. If the particle is projected from the origin with a kinetic energy `E`, and its period of bounded motion is `(N)/(k) sqrt((m E)/(2))`. Find the value of `N`.

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