A particle of mass m approaches a region of force starting

Last updated: 6/8/2023

A particle of mass m approaches a region of force starting from r 0 The potential energy function in terms of distance r from the origin is given by U r where a b c K 3 a r for 0 r a K r for r a 3 2 a K 0 positive constant Derive the force F r and determine whether it is repulsive or attractive With what velocity should the particle start at r to cross over to other side of the origin If the velocity of the particle at r is 2 K am towards the origin describe the motion