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Math Help - Find energy

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    Find energy

    Two balls with masses of 2.0 kg and 6.0 kg travel towards each other at speeds of 12 m/s and 4 m/s. If the balls have a head on, inelastic collision and the 2.0 kg ball recoils with a speed of 8.0 m/s, how much kinetic energy is lost in the collision?
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    Quote Originally Posted by John 5 View Post
    Two balls with masses of 2.0 kg and 6.0 kg travel towards each other at speeds of 12 m/s and 4 m/s. If the balls have a head on, inelastic collision and the 2.0 kg ball recoils with a speed of 8.0 m/s, how much kinetic energy is lost in the collision?
    It depends on how fast the 6.0 kg ball is traveling after the collision.

    All we can say is that the initial total kinetic energy is
    K_{tot} = \frac{1}{2}(2.0)(12)^2 + \frac{1}{2}(6.0)(4)^2 = 192~J

    and that after the collision the 2.0 kg ball is carrying
    K_{2.0} = \frac{1}{2}(2.0)(8.0)^2 = 64~J

    but we have no information on how much KE the other ball has after the collision.

    -Dan
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