The lead female character in the movie Diamonds Are Forever is standing at the edge of an offshore oil rig. As she fires the gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.010 kg, and its velocity is +715 m/s. Her mass (including the gun) is 59 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 multiplied by 10^-4 kg at a velocity of +715 m/s?
(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 multiplied by 10^-4 kg at a velocity of +715 m/s?
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a) v = (m/M)U = (.01/59)*715 = 0.121186441 = .121 mps recoil ANS. [See source.]
b) v = (m/M)U = (5E-4/59)*715 = 0.006059322 = .008 mps recoil ANS. [See source.]
b) v = (m/M)U = (5E-4/59)*715 = 0.006059322 = .008 mps recoil ANS. [See source.]
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Yep.
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