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John Taylor Classical Mechanics Chapter 3, Problem 1

  1. Aug 18, 2013 #1
    John Taylor "Classical Mechanics" Chapter 3, Problem 1

    1. The problem statement, all variables and given/known data
    Consider a gun of mass M (when unloaded) that fires a shell of mass m with muzzle speed v. (shell's speed relative to gun is v). Assuming gun is completely free to recoil (no ext. forces on gun or shell), use conservation of momentum to show that shell's speed relative to ground is v/(1+m/M)

    2. Relevant equations
    Pinitial=m1v1+m2v2 Pfinal=m1v + m2v=(m1+m2)v vfinal=(m1v1+m2v2/(m1+m2)

    3. The attempt at a solution
    I got v/(m/M), not the "+1
  2. jcsd
  3. Aug 18, 2013 #2


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    The gun and shell are not moving together after firing.
    Btw, this is the wrong forum. Should be in introductory physics.
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