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 0.016 kg and its velocity is +654 m/s. Her mass (including the gun) is 51 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 a mass of 5.0 times 10^-4 kg at a velocity of +654 m/s? _____ __________

Explanation / Answer

(A) Applying momentum conservation for the shooting,

0 = (0.016 x 654) - 51v

v = 0.205 m/s .....Ans

(B) applying momentum conservation again,

0 = (5 x 10^-4 x 654) - 51v

v = 6.41 x 10^-3 m/s

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