A bullet or a cartridge containing a bullet having an elongated body with a forward end and an opposed rear end. The body has an intermediate cylindrical portion between the rear and forward ends, and the front end of the body defines a cavity. A resilient nose element is received in the cavity. The nose element may be an elastomer, and may be a cylindrical body. The cavity may be a cylindrical bore, and the nose element may be closely encompassed within the bore. The forward end of the nose element may be flat, and may be flush with the forward end of the body.