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19 October, 19:31

answers A 2.84 kg mud ball has a perfectly inelastic collision with a second mud ball that is initially at rest. The composite system moves with a speed equal to one-seventh the original speed of the 2.84 mud ball. What is the mass of the second mud ball

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  1. 19 October, 21:22
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    Perfectly inelastic collision is type of collision during which two objects collide, stay connected and momentum is conserved. Formula used for conservation of momentum is:

    In case of perfectly inelastic collision v'1 and v'2 are same.

    We have following information:

    m₁=3 kg

    m₂=? kg

    v₁=x m/s

    v₂=0 m/s

    v'1 = v'2 = 1/3 * v₁

    Now we insert given information and solve for m₂:

    3*v₁ + 0*? = 3*1/3*v₁ + m₂*1/3*v₁

    3v₁ = v₁ + m₂*1/3*v₁

    2v₁ = m₂*1/3*v₁

    2 = m₂*1/3

    m₂ = 6kg

    Mass of second mud ball is 6kg.
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