A barge is in a rectangular lock on a freshwater river. The lock has length $65\mathrm{.}0$ mm long and $18\mathrm{.}0$ mm wide, and the steel doors on each end are closed. With the barge floating in the lock, a $2\mathrm{.}001066$ NN load of scrap metal is put onto the barge. The metal has density $7600$ kg$/$m$3$kg$/$m$3.$

The scrap metal is now pushed overboard into the water. Does the water level in the lock rise, fall, or remain the same?

risesfallsremains the same