The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Assume its velocity is +693m/s and the mass of a bullet is 0.0281 kg. Her mass (including the gun) is 57.2 kg.
a) What recoil velocity does she acquire in response to a single shot from a stationary position, assuming that no external force keeps her in place?
b) Under the same assumption, what would be her recoil velocity if, instead, she shoots a blank cartridge that ejects amass of 0.000293 kg at a velocity of +693 m/s?