1. The problem statement, all variables and given/known data A particle of mass m is acted on by a force F(x) = -k/x2. The particle is released from rest a distance b from the origin of the attractive force F(x). Show that the time to reach the origin is given by t = [tex]\pi[/tex](mb3/8k)1/2. 2. Relevant equations F(x) = -k/x2 F = ma = m dv/dt = m dv/dx dx/dt = m v dv/dx 3. The attempt at a solution m v dv = -k/x2 v dv = -k/mx2 dx [tex]\int[/tex] v dv = -k/m [tex]\int[/tex] x-2 dx Integrating the left from zero to v and the right side from b to zero: 1/2 v2 = an integral that diverges???!!!