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What is kinetic energy after collision of mass 4kg moving 6m/s in +y direction collids and stick to another object with mass 2kg moving at 4m/s in +x direction.

  • physic -

    First apply conservation of momentum to get the final velocity V of the stuck-together masses. It will have both x and y components

    The x-component of the final velocity is Vx = 2*4/(M1+M2) = 8/6 = 1.333 m/s

    The y-component of the final velocity is
    Vy = 4*6/(M1+M2) = 42/6 = 4.000 m/s

    The final KE is (1/2)(M1+M2)V^2
    = (1/2)(M1+M2)(Vx^2 + Vy^2)
    = 53.33 J

    (Note that the initial KE was 72 + 16 = 88 J)

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