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

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 0.013 kg, and its velocity is +716 m/s. Her mass (including the gun) is 48 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 +716 m/s? m/s

Explanation / Answer

linear momentum conserve

pi = pf

initially no motion = pi = 0

0 = m1v1 + m2v2

v1 = -m2v2/m1

v1 = -0.013 * 716 /48

v1 = -0.1939 m/s = -0.2 m/s

here negative sign showing that bullet and the woman move in opposite directions when the gun is fired.

part b )

here m2 = 5 x 10^-4 kg

v2 = 716 m/s

v1 = -7.458 x 10^-3 m/s

here negative sign showing that bullet and the woman move in opposite directions when the gun is fired.

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