The path of a particle of mass m, moving under the influence of a central force, in plane polar coordinates is given by r = r,e", where r, and k are positive constants of appropriate dimensions. The angular momentum of the particle is L and its total energy is zero. The potential energy functions V(r), in terms of m, L and k is.. .

The path of a particle of mass m, moving under the influence of a central force, in plane polar coordinates is given by r = r,e", where r, and k are positive constants of appropriate dimensions. The angular momentum of the particle is L and its total energy is zero. The potential energy functions V(r), in terms of m, L and k is.. .