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Collision of Two Spheres

  1. Sep 23, 2015 #1
    1. The problem statement, all variables and given/known data
    Two solid spheres hung by thin threads from a horizontal support (Figure 1) are initially in contact with each other. Sphere 1 has inertia m1 = 0.040 kg , and sphere 2 has inertia m2 = 0.10 kg. When pulled to the left and released, sphere 1 collides elastically with sphere 2. At the instant just before the collision takes place, sphere 1 has kinetic energy K1 = 0.086 J .
    A. What is the speed of sphere 1 after the collision?
    B. What is the speed of sphere 2 after the collision?
    Mazur1e.ch5.p70.jpg
    2. Relevant equations
    K = 1/2 mv^2
    p = mv

    3. The attempt at a solution
    I found v1i = 2.07 m/s
    Should I consider of using these equations?
    Kinetic:
    1/2 m1*v1i^2 + 1/2 m2*v2i^2 = 1/2 m1*v1f^2 + 1/2 m2*v2f^2
    Momentum:
    m1*v1i + m2i*v2i = m1*v1f + m2*v2f
     
  2. jcsd
  3. Sep 23, 2015 #2

    andrewkirk

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    Yes. You have two unknowns - the velocities of the two spheres after the collision - and two equations (one for momentum and one for KE), so you can solve the system and find both values.
     
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