A particle with mass m moves in one dimension along the x axis

QUESTION

A particle with mass m moves in one dimension along the x axis in the regionwhere x>0. It is acted on by two forces F1 and F2. F1 is a constant force directed towardsthe origin with magnitude B. F2 is an inverse square law force with magnitude A/x2directed away from the origin.(a) Find the potential energy U(x).(b) Find the period of small oscillation about the equilibrium position in terms of A, Band m.

 

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