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 0.015 kg, and its velocity is +706 m/s. Her mass (including the gun) is 54 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 +706 m/s? ___________m/s

Explanation / Answer

   According to principle of conservation oflinear momentum    total initialmomentum   =   total finalmomentum    0   =   m1* v1   +   m2 *v2    m1   =   massof female character    v1   =   recoilvelocity of femal character    m2   =   massof bullet    v2   =   velocityof bullet    =>   v1   =   -m2 * v2 /m1            ---------(1)       v1   =   -0.0015 * 706 / 54             =  - 0.020 m/s    ( - ve sign represents motion in oppositedirection.)    b.   For blankcartridge   m2   =   5.0* 10-4   kg       v1   =   -5.0 * 10-4 * 706 / 54             =  - 6.5* 10-3   m/s    According to principle of conservation oflinear momentum    total initialmomentum   =   total finalmomentum    0   =   m1* v1   +   m2 *v2    m1   =   massof female character    v1   =   recoilvelocity of femal character    m2   =   massof bullet    v2   =   velocityof bullet    =>   v1   =   -m2 * v2 /m1            ---------(1)       v1   =   -0.0015 * 706 / 54             =  - 0.020 m/s    ( - ve sign represents motion in oppositedirection.)    m1   =   massof female character    v1   =   recoilvelocity of femal character    m2   =   massof bullet    v2   =   velocityof bullet    =>   v1   =   -m2 * v2 /m1            ---------(1)       v1   =   -0.0015 * 706 / 54             =  - 0.020 m/s    ( - ve sign represents motion in oppositedirection.)    b.   For blankcartridge   m2   =   5.0* 10-4   kg       v1   =   -5.0 * 10-4 * 706 / 54             =  - 6.5* 10-3   m/s

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