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Elastic collision with no info on object 1

  1. Oct 19, 2009 #1
    1. The problem statement, all variables and given/known data

    Cart1, with mass m, is initially at rest and is struck by cart2, which has a mass of 337 kg and initial speed of 2.07 m/s. The collision is elastic and after the collision cart2 continues to move in its original direction at 0.900 m/s.


    Find m, the mass of cart1.
    Find the velocity of cart1 after the collision.


    3. The attempt at a solution

    I tried using standard momentum equations and isolating for m1 but I can't seeing as I don't have u1 or m1. Once I find the mass, the second part of the question should be straightforward.


    Thankyou for your help!!
     
  2. jcsd
  3. Oct 19, 2009 #2

    rl.bhat

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    Here you have to use the law of conservation of energy along with the conservation of linear momentum.
     
  4. Oct 19, 2009 #3
    So i would insert one into the other to solve for the unknown?
     
  5. Oct 19, 2009 #4

    rl.bhat

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  6. Oct 19, 2009 #5
    Does it matter which equation gets subbed into which?
     
  7. Oct 19, 2009 #6

    rl.bhat

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    m1v1 + m2v2 = m1v1' + m2v2".
    In the problem v1 = 0. Substitute the known values, find v1' in terms of m1.
    Put it in the energy equation to find m1.
     
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