An ultrasonic surgical assembly connectable to an ultrasonic surgical handle having an ultrasonic waveguide, the assembly comprising: an exterior body defining an internal compartment and having a connection operable to removably secure the body in a body-holding compartment within the ultrasonic surgical handle; a cordless ultrasonic-movement-generation assembly disposed in the internal compartment and having an output couple removably attachable to the ultrasonic waveguide and operable to impart ultrasonic movement to the ultrasonic waveguide; and a battery disposed in the internal compartment and electrically connected to and powering the ultrasonic-movement-generation assembly.