Derive the total energy (E) of a particle of mass m moving in a centripetal force field, based on its radial coordinates and derivatives. If this particle moves in a spiral orbit expressed by the equation "(@) = cơ² (c, real constant), use the energy relation you find to obtain the force F(r) that forms this orbit.

Derive the total energy (E) of a particle of mass m moving in a centripetal force field, based on its radial coordinates and derivatives. If this particle moves in a spiral orbit expressed by the equation "(@) = cơ² (c, real constant), use the energy relation you find to obtain the force F(r) that forms this orbit.