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Galilean Transformation

  1. Nov 28, 2007 #1
    1. The problem statement, all variables and given/known data
    a railcart A moves in a fixed accelaration [tex]a_1=a_1 \hat{x} [/tex] ([tex]a_1 [/tex] is relavive to earth) at moment t=0 a ball is thrown from it in the velocity [tex]v_0 [/tex] ([tex]v_0 [/tex] is relative to the railcart A) and with the angle [tex] \alpha [/tex] above the horizon. the velocity of the railcart when the ball was thrown was [tex]\vec{v_1}=v_1\hat{x}[/tex] ([tex]v_1 [/tex] is relavive to earth). (the mass of the ball is neglectable relavtively to the railcart so that the act of throwing the ball doesnt affect the railcart)
    behind railcart A moves another railcart B and on it a man. railcart B moves in a fixed accelaration [tex]a_2=a_2 \hat{x} [/tex] ([tex]a_2[/tex] is relavive to earth) the velocity of the railcart B when the ball was thrown was [tex]\vec{v_2}=v_2\hat{x}[/tex]([tex]v_2 [/tex] is relavive to earth)
    the man on railcart B sees the ball moving in a straight line. what should be [tex] \alpha [/tex] for it to happen? (you can state [tex] \alpha [/tex] as its tan([tex] \alpha [/tex])


    2. Relevant equations

    3. The attempt at a solution
    for the man this is true
    [tex]\frac{v_y}{v_x}=\frac{F_y}{F_x}[/tex]
    i tried to use the galilean transformation
    but i dont seem to pull it off

    this question is really hard in my opinion
    if you can give me a hand here
     
  2. jcsd
  3. Nov 30, 2007 #2
    please can someone give me a hand here
     
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