Recent content by weirdlycool

  1. weirdlycool

    How to improve critical thinking and awareness

    For example, in the topic of spatial translation, given the translation operator T(α) and suppose I want to translate by a finite distance α, but finite translations can just be derived from infinitesimal translations ε. So we can construct α in the context of ε. T(α) = (T(α/N))^N as N→∞. The...
  2. weirdlycool

    How to improve critical thinking and awareness

    What i mean by typical problems of students are maybe out of focus, can't take up the problems very well and sometimes I tend forget what was just said by my professor. What do you think I should do?
  3. weirdlycool

    How to improve critical thinking and awareness

    I'm studying physics, and I've covered calculus and general physics. My problem is: -My critical thinking is really not good. -Whenever someone is asking me about say, object A, I would answer something that is not related to object A (I'm not aware of it until that person tell me that I...
  4. weirdlycool

    Conservation of momentum (relative speed)

    Thanks, I think I got it already. The initial momentum is 0 ## p_{initial} = ## 0 ## p_{final} = ## M v(gun rel ground) + m v(bullet rel ground) therefore, 0 = M [ v(bullet rel ground) - v(bullet rel gun) ] + m v(bullet rel ground) m v(bullet rel ground) = - M v(bullet rel ground) + M v(bullet...
  5. weirdlycool

    Conservation of momentum (relative speed)

    Homework Statement Consider a gun of mass M (when unloaded) that fires a shell of mass m with muzzle speed v. (That is, the shell's speed relative to the gun is v.) Assuming that the gun is completely free to recoil (no external forces on gun or shell), use conservation of momentum to show that...
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