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Momentum of 2 Joggers

  1. Oct 12, 2009 #1
    1. The problem statement, all variables and given/known data
    An 81.8 kg jogger is heading due east at a speed of 1.81 m/s. A 54.4 kg jogger is heading 32.2° north of east at a speed of 3.00 m/s. Calculate the magnitude of the sum of the momenta of the two joggers.


    2. Relevant equations
    m1v1 + m2v2 = m1v1' + m2v2'


    3. The attempt at a solution
    Since they want the sum of the momenta I figured it meant that I would just add up the masses and the velocities as follows:

    (81.8)(1.81) + (54.4)(3.00)

    However, that was not the correct answer. Also the angle is throwing me off a bit as I don't see how it could fit into this problem. Any help will be greatly appreciated. Thanks.

    Sincerely,
    CaptFormal
     
  2. jcsd
  3. Oct 12, 2009 #2

    mgb_phys

    User Avatar
    Science Advisor
    Homework Helper

    Draw a diagram
    Remember the momentum in Y (north-south) and X (east-west) is conserved.
     
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