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Collision problem

  1. Oct 14, 2004 #1
    A ball moving with a speed of 15 m/s strikes an identical ball that is initially at rest. After the collision, the incoming ball has been deviated by deta1 = -41° from its original direction, and the struck ball moves off at deta2 = 24° from the original direction. What are the speeds of the two balls after the collision?

    I set up these two equations:
    initial momentum = final momentum

    x component: v1(initial) = v1(final)*cos(-41) + v2(final)*cos(24)

    y component: 0 = v1(final)*sin(-41) + v2(final)*cos(24)

    Did I set up this right?
    How would I solve these equations?
     
  2. jcsd
  3. Oct 14, 2004 #2

    Tide

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    You have two equations and two unknowns and the relationships are linear! It's easy to solve. For example, solve the 2nd equation for v1_final in terms of v2_final then substitute that result into the first equation which you can readily solve for v2_final -which, in turn, let's you explicitly determine v1_final.
     
  4. Oct 14, 2004 #3
    These 2 equations are separate components (X and Y). I can just solve for the 2nd one and plug into the first? I thought I have to solve each one individually and then combine them to find the hypontenuse (V_final).
     
  5. Oct 15, 2004 #4

    Tide

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    Well if you solve for each then you can add their squares and find the square root to find the magnitude of the vector!
     
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