A particle of mass m describes the parabola y = x2/4r0 under a central force F directed to...

A particle of mass m describes the parabola y = x2/4r0 under a central force F directed toward the center of force C. Using Eq. (12.37) and Eq. (12.39') with ε = 1, show that F is inversely proportional to the square of the distance r from the particle to the center of force and that the angular momentum per unit mass .