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 0.0216 kg and its velocity is +627m/s. Her mass (including the gun) is 42.9 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 0.000203 kg at a velocity of +627 m/s?

(a) Number Units No unitssmm/skgkg·m/sN

Explanation / Answer

According to conservation of momentum      0 + 0 = m V + M Vf M of the lady , m is mass of the bullet, v is speed ofthe bullet and Vf is recoil speed of the lady.        Vf = - mV / M            = - 0.0216(627m/s) / 42.9            =0.3156m/s in the direction opposite to the direction of thebullet. -----------------------------------------------------------------------------------------------------------------------    Using the similar formula       Vf = - (0.000203(627) /42.9            =0.002966m/s

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