Chess question (please read details).

I already know a queen and king can force checkmate against a king and bishop (and I think a knight as well) but can a king and queen force mate against a king and rook? I’m talking about forcing a mate before 50 moves with no pawns on the board or is this a situation that is similar to a lone king against two knights and a king where you have to hope your opponent makes a wrong move?

Is forcing a checkmate mathematically possible with a queen and king against a rook and king (with no pawns on the board) before 50 moves?