A single use cartridge 10 is disclosed for dispensing a medicament or other substance for dental, medical, or veterinarian applications. A motive fluid can contact the medicament to mix and dispense from reservoir 12, or the motive fluid can act on a plunger 21 to dispense the medicament. A handpiece 15 can sealably connect the cartridge 10 to a source of the motive fluid. The cartridge 10 can be easily replaced to facilitate the use of multiple cartridges with a single handpiece 15. An ultrasonic cleaning element 30 with a channel for fluid flow can be used in a handpiece 25 with a single use medicament cartridge 28 to dispense medicament during ultrasonic dental procedures. A cartridge 72 can contain a mixing element 70 to mix the motive fluid and abrasive particles for tooth surface polishing.