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 these. Assume the mass of a bullet is 0.007 kilogram, and its velocity is +707 m/s. Her mass (including the gun) is 49 kilogram.
(a) Find 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? (in m/s)
(b) Under the same assumption, what would be her recoil velocity if, instead, she shoots a blank cartridge that ejects a mass of 5.0 x 10-4 kilogram at a velocity of +707 m/s?