When a magnet is allowed to freely fall down toward a plate of copper, which of the following happen? $[$Select all options that apply. If options X and Y both occur, enter the string $\text{'}$XY$\text{'}$ without the quotation marks.$]$

A$)$ The copper plate warms up a little bit due to internal resistance to flowing current.

B$)$ The magnet crashes hard into the plate transferring all the accumulated kinetic energy via the collision.

C$)$ A circular electric field is induced in the copper plate, driving loops of current.

D$)$ An induced current forms whose magnetic moment opposes the magnetic moment of the dropping magnet.