(a) What recoil velocity does she acquire in response to a single shotfrom a sta
ID: 1670114 • Letter: #
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.Related Questions
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