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1-D Perfectly Elastic Collison PLEASE CHECK THANKS

  1. Mar 13, 2010 #1
    1-D Perfectly Elastic Collison PLEASE CHECK!! THANKS

    1. The problem statement, all variables and given/known data
    Mass m1 is moving to the right at a velocity of 17.6m/s. Suddenly it strikes a stationary ball. The stationary ball has a mass of .685kg. The collision is perfectly elastic and 1 dimensional. The collision forces m2 to move to the right at 11.1m/s (v2prime).

    Total momentum = 5.5 kg m/s ??
    m1 = .3155kg ??
    v1prime= -6.5m/s ??


    2. Relevant equations

    momentum before = momentum after
    m1v1 = m1v1prime + m2v2prime

    v2prime = (2m1)/(m1+m2) (v1) + (m2-m1)/(m1+m2) (v2)

    v1prime = (m1-m2)/(m1+m2) (v1) + (2m2)/(m1+m2) (v2)


    3. The attempt at a solution


    11.1 = (2*m1)/(m1+.685) ( 17.6) + 0 (cancels cause m2 is stationary
    11.1(m1+.685) = 35.2m
    11.1m1 + 7.6035 = 35.2m
    24.1m = 7.6035
    m1= .3155 kg

    v1prime = (.316-.685)/(.316+.685)(17.6) + 0 (v2 = 0)
    v1prime = -6.50 m/s Left.

    momentum before = momentum after
    (17.6)(.316) = (.316)(-6.5) + (.685)(11.1)
    5.55 kgm/s


    Thanks for taking your time to help !! I just want to make sure this is right.
     
  2. jcsd
  3. Mar 13, 2010 #2
    Re: 1-D Perfectly Elastic Collison PLEASE CHECK!! THANKS

    yeah, it's right. to check just see if the momentum is the same before & after and check if the kinetic energy is the same before & after. they are, so you did it right.
     
  4. Mar 13, 2010 #3
    Re: 1-D Perfectly Elastic Collison PLEASE CHECK!! THANKS

    sorry to ask this, but are you 100% sure? Maybe I can get some more people to assure this answer is correct, as there are multiple other ways of doing the same problem.
     
  5. Mar 13, 2010 #4
    Re: 1-D Perfectly Elastic Collison PLEASE CHECK!! THANKS

    Yes. there is only one solution to the problem, so if you plug it in to find the correct results, it must be right.
     
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