The lead female character in the movie Diamonds AreForever is standing at the ed

Question

The lead female character in the movie Diamonds AreForever is standing at the edge of an offshore oil rig. As shefires a gun, she is driven back over the edge and into the sea.Suppose the mass of a bullet is 0.0179 kg and its velocity is +688m/s. Her mass (including the gun) is 55.6 kg. (a) What recoilvelocity does she acquire in response to a single shot from astationary position, assuming that no external force keeps her inplace? (b) Under the same assumption, what would be her recoilvelocity if, instead, she shoots a blank cartridge that ejects amass of 0.000659 kg at a velocity of +688 m/s?

(a)

Number

Units

(b)

Number

Units

Explanation / Answer

      Given that the mass of person is M =55.6 kg       mass of bullet is m1 = 0.0179 kg       Initial velocity is u1 = 688m/s       mass of cartridge is m2 =0.000659 kg ---------------------------------------------------------------      (a) Apply conservation of energy for female andbullet before and after single shot                            0 = m1*u1 + M*V                           V = m1*u1 / M                               = 0.221 m/s       (b)     Apply conservation of energyfor female and cartridge before and after single shot                            0 = m2*u1 + M*V                           V = m2*u1 / M                               = 0.0081m/s

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