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Particle in a potential well Gre. 93

  1. Nov 30, 2003 #1
    What concepts are involved here?
    93. A particle of mass m moves in the potential shown here. The period of the motion when the particle has energy E is
    The potential is V = 1/2kx^2 for x <0 and V= mgx for x > 0.

    A. Sqrt[k/m]
    B. 2*pi*Sqrt[m/k]
    . 2*Sqrt[2E/(mg^2)]
    D. pi*Sqrt[m/k] + 2*Sqrt[2*E/(m*g^2)]
    E. 2*pi*Sqrt[m/k] + 4*Sqrt[2*E/(mg^2)]

    The answer is D.
  2. jcsd
  3. Nov 30, 2003 #2
    Harmonic oscillator and ballistic motion.
  4. Nov 30, 2003 #3
    What is ballistic motion?
    How do you arrive at the answer?
  5. Dec 1, 2003 #4
    Ballistic motion is when a body moves in a field of constant gravity.

    You can look up the formulae in any basic mechanics book (or basic mechanics website). Sorry, I'm really too lazy to type it all down here for you.
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