The lead female character in the movie Diamonds Are Forever is standing at the e

Question

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. Suppose the mass of a bullet is 0.012 kg, and its velocity is +735 m/s. Her mass (including the gun) is 57 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?
_________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 10-4 kg at a velocity of +735 m/s?
________m/s

Explanation / Answer

The mass of the bullet is m = 0.012 kg speed of the bullet is u = 735 m/s Mass of L is M = 57 kg a) Applying the law of conservation of linear momentum, mu = Mv Where v is the recoil speed of L (0.012 kg)(735 m/s) = (57 kg)v v = 0.155 m/s b) When the cartridge is empty m'u = Mv (5*10-4 kg)(735 m/s) = (57 kg)v v = 0.00645 m/s m'u = Mv (5*10-4 kg)(735 m/s) = (57 kg)v v = 0.00645 m/s

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