Classical Mechanics (Kibble & Berkshire) · Problem 6.7
Orbits in a central field — T.W.B. Kibble, F.H. Berkshire
Physics — Mechanics · rectilinear-motion-energy
Problem
A particle P of mass m, which is on the negative x-axis, is moving towards the origin with constant speed u. When P reaches the origin, it experiences the force F=−Kx2, where K is a positive constant. How far does P get along the positive x-axis?