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Homework Help: Completely inelastic collision with object attached to spring

  1. Apr 15, 2014 #1
    1. The problem statement, all variables and given/known data

    In Fig. 9-64, block 2
    (mass 1.0 kg) is at rest on a
    frictionless surface and touch-
    ing the end of an unstretched
    spring of spring constant 200
    N/m. The other end of the spring is fixed to a wall. Block 1 (mass 2.0 kg), traveling at speed v1 = 4.0 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed?

    2. Relevant equations

    m1v1+m2v2=MV where M is the mass of the system and V is the velocity of the system

    Hooke's Law: F = kx

    3. The attempt at a solution

    I was able to find the final velocity of the system:

    V = (m1v1)/(m1+m2) = 2.974

    How do I get from there to the distance that the spring is compressed?
  2. jcsd
  3. Apr 16, 2014 #2


    User Avatar
    Homework Helper

    Does conservation of energy hold after the collision?

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