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Elastic Potential Energy and Energy Exchange

  1. Jan 15, 2012 #1
    1. The problem statement, all variables and given/known data

    A 3 kg ball is dropped from a height of 0.8 m above the top of the spring onto a vertical coiled spring sitting on the floor. The spring constant of the spring is 1200 N/m. Determine the maximum compression of the spring as the ball comes momentarily to rest before rising again. (0.22 m)

    2. Relevant equations
    1/2kx^2 (Spring Potential Energy as the area of kx graph)
    Epg=mgh (Gravitational Potential Energy)
    1/2mv^2 (Sum of energy -> Average kinetic energy of all particles -> velocity)

    3. The attempt at a solution
    physics.png

    I am not sure where I went wrong.
    I meant b=-29.43.
    x = 0.04905m
     
  2. jcsd
  3. Jan 15, 2012 #2

    ehild

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    Homework Helper
    Gold Member

    Decide from where do you count the height of the ball. If it is the upper end of the spring in equilibrium, then the final height is h2=x2 (a negative quantity).

    ehild
     
  4. Jan 15, 2012 #3
    Nevermind, I figured it out. It makes more sense for the gravitational energy h2 to be down upwards to the ball.

    The first statement I made was false.

    physics-1.png
     
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