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

ID: 1449311 • 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 0.010 kg, and its velocity is +717 m/s. Her mass (including the gun) is 47 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? 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 10-4 kg at a velocity of +717 m/s? m/s

Explanation / Answer

1)

By conservation of momentum

mbullet*vbullet=mlady*vrecoil

v recoil=.01*717/47

=0.1525 m/s

2)

Applying the same formula

v recoil=0.0005*717/47

=0.0076 m/s

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