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 0.014 kg, and its velocity is +711 m/s. Her mass (including the gun) is 58 kg.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?
Under the same assumption, what would be her recoil velocity if, instead, she shoots a blank cartridge that ejects a mass of 5.0 multiplied by 10-4 kg at a velocity of +711 m/s?

Explanation / Answer

conservation of momenumt

initial momentum = final momentum ;

0 = 58 * v + 0.014 * 711 ;

v = - 0.1716 m /s    in a direction opposite to the bullet ,

in the other case ,

0 = 58 * v + ( 5 e -4 ) * 711 ;

or v = 6.129 e -3 m /s in direction opposite to bullet

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