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Math Help - Maths Genius needed for help on partical motion!

  1. #1
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    Maths Genius needed for help on partical motion!

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  2. #2
    Senior Member
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    Anchorage, AK
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    Which problem?

    jozzo1000,

    Which of these problems do you want help with?

    (4) is a simple Galilean transform problem: velocities add linearly.

    In (10), you use the fact that the potential energy U for a conservative force F is \mathbf{F} = -\nabla U, or for a one-dimensional problem,
    F(x)=-\dfrac{d}{dx}U(x),
    to obtain the potential energy U(x), and use the fact that the total energy
    E=T+U is a constant (with T = \tfrac{1}{2}mv^2 the kinetic energy) to find the x where it comes to rest (where v=0 and thus T=0)

    In (11), you use the fact that E=T+V, T being kinetic energy, along with the fact that T ≥ 0 to determine the motion qualitatively.


    --Kevin C.
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