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Trajectory Problem using Newton's Formulas

  1. Sep 12, 2010 #1
    Hey. I was not sure if I could post this somewhere else, since this has nothing to do with homework or anything like that.

    1. The problem statement, all variables and given/known data
    In a newtonian world:
    Determine the position of object two, being x, z spatial coordinates and y a time one relative to object 1. Object 1 is (0; y; 0). The objects are at d distance of course. The colision of the objects can be ignored. Also "o2" is moving at v m/s in the same directon as the vectour (0;1;0).
    For the sake of simplicity I'll give the variables values.

    "O1"(0; y; 0)
    "02"( 0; 0; 10^10)
    d=10^10
    "M1"=10^7
    "M2"=10^7 (not sure if this matters but oh well...)
    v=10^3 m/s


    2. Relevant equations
    f=[("M1"+"M2")/d^2]*6,67*10^-11
    a=f/M


    Being:
    a(m/s/s)=acceleration
    f(N)=force
    M(kg)=mass
    d(m)=distance
    v(m/s)=speed
    "M1"(kg)=mass of object one
    "M2"(kg)=mass of object two
    "O1"=object one
    "O2"=object two

    3. The attempt at a solution (not)
    This problem would require a bit of time for me to solve, because I'd have to come up with some formulas on my own. Everytime I sit down to try this I get distracted. So I hope someone could show me the deduction of the formula that gives the position of "O2". Something like f(y)="O2"(x, y, z)

    Thank you

    PS:In case I forgot to add some info tell me.
     
  2. jcsd
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