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

ID: 1691859 • Letter: T

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 0.015 kg, and its velocity is +713 m/s. Her mass (including the gun) is 45 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?
1 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 multiplied by 10-4 kg at a velocity of +713 m/s?
2 m/s


Section 7.2 The Principle of Conservation of Linear Momentum

Explanation / Answer

according to conservation of mamentum, before momentum equal to after momentum. (a) m1v1 + m2v2 = 0 45v1 = - 0.015*713 v1 = - 0.23 m/s (negative means recoil velocity) (b)    45 v1 = - 5.0*10^-4*713         v1 = - 0.0079 m/s (negative means recoil velocity)
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