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Mechanics Problem

  1. Nov 17, 2004 #1
    Please help with the following problem:

    Assume a monkey lets go of a tree when a tranquiliser is fired. At what angle should the gun be pointed so that the tranquiliser hits the monkey while in free fall?

    Neglect size of gun and monkey. Let Xm,Ym = monkey's initial position, Vo=magnitude of tranquilizer's initial velocity. What is the minimum velocity, Vo(in m/s) so that the tranquilizer hits the monkey in free fall if Xm=Ym=10m?

    What curve describes the tranquilizer's trajectory?Prove it
     
  2. jcsd
  3. Nov 17, 2004 #2

    Doc Al

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    Staff: Mentor

    Hint: What if there were no gravity?
     
  4. Nov 17, 2004 #3
    need a better hint!
     
  5. Nov 17, 2004 #4

    Doc Al

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    Staff: Mentor

    Answer the question first!
     
  6. Nov 17, 2004 #5
    If there were no gravity then the monkey would not experience an accelearation of 9.81 towards the centre of the earth and the bullet would not fall as it flies through the air also.
     
  7. Nov 17, 2004 #6
    Think outside the box.
     
  8. Nov 17, 2004 #7
    Solved the first part of the problem, i.e angle=45 degrees. I realise that the tranquiliser should be fired at the monkey and not below it as the tranquiliser falls like the monkey but really need help to find the minimum velocity needed.
    PLEASE HELP!
     
  9. Nov 17, 2004 #8
    Yep, you got it. So, the shot will hit the monkey no matter what (if it's directed at the monkey). The only problem now is to make the shot reach the monkey before he falls 10 m. Find the time it takes him to fall the 10 m and then see what minimum velocity you need for the tranquilizer to cover a distance of 10 m before the monkey falls.
     
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