1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Half pipe mass colides

  1. Nov 22, 2009 #1
    1. The problem statement, all variables and given/known data

    note the picture

    A small mass m1 slides in a completely frictionless spherical bowl. m1 starts at rest at height h = ½ R above the bottom of the bowl. When it reaches the bottom of the bowl it strikes a mass m2, where m2 = 3m1, in a completely elastic collision.

    a)find height of mass 2 after colision

    b)find height of mass 1 after colision

    2. Relevant equations



    3. The attempt at a solution

    m1g(.5R) = .5m1v1o2...v1o = (gR).5

    m1v1o[/SUB = m1v1 + m2v2...m1v1o[/SUB = m1v1 + 3m1v2...(gR).5 = v1 + 3v2...
    v1 = (gR).5 - 3v2
    v2 = ((gR).5-v1)/3

    a) .5m2v22 = m2gh... .5(((gR).5-v1)/3)2 = gh....hm_2 = (((gR).5-v1)/3)2 /2g

    b).5m1v22 = m1gh... .5((gR)2-3v2)2 = gh...h = ((gR).5-3v2)2/2g)
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

    • 2.pdf
      2.pdf
      File size:
      90.4 KB
      Views:
      80
  2. jcsd
  3. Nov 23, 2009 #2

    Redbelly98

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    Okay so far. At this point you can use conservation of kinetic energy for the elastic collision, and get a second equation relating v1 and v2. From there, you can express v1 and v2 in terms of g and R.

     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook