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Motion Along a Line

  1. Jun 3, 2009 #1
    1. The problem statement, all variables and given/known data

    Express the time taken for the particle to travel from x=1 to x=8 as a definate integral with respect to x.

    2. Relevant equations

    A particle P moves under the influence of a force

    F(x)= (16/x^2) -2

    3. The attempt at a solution

    first i worked out V(x), such that V(x)=- the integral of F(x)

    V(x) = 2x +16/x + a constant

    we are then told P is released from rest at x=1

    so we can obtain V(1)=0=2+16-C
    C=-18

    so V(x)=2x +16/x -18

    V(x) is the potential function btw

    so we can work out the particle is bounded by x=1 and x=8


    I'm just not sure how to express the time as an integral in terms of x. we haven't done much like that.
     
  2. jcsd
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