Before the rope between AB burns out, the elasticity of the two springs has not changed, so
Right A: At this time, the resultant force acting on A is equal to the original tensile force T of the rope. If the direction is opposite, that is, the direction is upward, then -5mg=maA and AA =-5 g. 。
Right B: At this time, the resultant force acting on B is equal to the pulling force T of the original rope, and the direction is opposite, that is, the direction is downward, so 5mg=2maB, aB=2.5g 。
Right C: Since the elastic force of the spring has not changed, the stress of C has not changed, so AC = 0.
So choose B.