B, before the withdrawal of force F to AB as a whole as a research object, according to the Equilibrium conditions: N = F + 2mg, the moment of withdrawal of force F, the spring elasticity is too late to change, that is, the force on the B have not changed, by the ground support is still equal to F + 2mg, according to Newton's third law, the size of the pressure on the ground B for the F + 2mg, B is wrong;
C, the moment of withdrawal of the force F, the B object of the combined force is still zero, zero acceleration, C is wrong;
D, the moment of withdrawal of force F, the B object of the combined force is still zero, acceleration is zero, C is wrong;
D, after the withdrawal of force F, the system only gravity and spring elasticity work, so A, the spring and the earth composed of the system of mechanical energy conservation, D is correct;
The choice: AD.