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Statement of a problem № 191

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A particle moves along a closed trajectory in a central field of force where the particle s potential energy U = kr2 (k is a positive constant, r is the distance of the particle from the centre O of the field). Find the mass of the particle if its minimum distance from the point O equals r1 and its velocity at the point farthest from O equals v2.

Solution:
A particle moves along a closed trajectory in a central field of force where the

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