(a) What recoil velocity does she acquire in response to a single shotfrom a sta

Question

(a)   What recoil velocity does she acquire in response to a single shotfrom a stationary position, assuming that no external force keepsher 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× 10-4 kg at a velocity of +720 m/s? 63. The lead female character in the movie Diamonds AreForever is standing at the edge of an offshore oil rig. As shefires 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 +720m/s. Her mass (including the gun) is 51 kg.
(a)   What recoil velocity does she acquire in response to a single shotfrom a stationary position, assuming that no external force keepsher 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× 10-4 kg at a velocity of +720 m/s?

Explanation / Answer

   According to law of conservation of linearmomentum    total mometum before firing thegun   =   total momentum after firingthe gun    0   =   m1* v1   +   m2 *v2    ( Momentum before firing the gun is zero asfemale character as well as the gun were at rest.)    =>   recoil velocity offemale character   v2   =   -m1 * v1 / m2    here   m1   =   massof projectile from the gun,             v1   =   velocityof projectile from the gun             m2   =   massof female character    a.   v2   =   -0.010 * 720 / 51                =   -   0.141   m/s    here   m1   =   massof projectile from the gun,             v1   =   velocityof projectile from the gun             m2   =   massof female character    a.   v2   =   -0.010 * 720 / 51                =   -   0.141   m/s    b.   with blankcartridge         v2   =   -5.0 * 10-4 * 720 / 51                                                       =   -7.06 * 10-3   m/s    - ve sign in both cases represent the factthat the female character recoils in direction opposite thedirection of bullet.    - ve sign in both cases represent the factthat the female character recoils in direction opposite thedirection of bullet.

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