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12 June, 20:24

Block A, with a mass of 4.0 kg, is moving with a speed of 2.0 m/s while block B, with a mass of 8.0 kg, is moving in the opposite direction with a speed of 3.0 m/s. The center of mass of the two block system is moving with velocity of?

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  1. 12 June, 22:35
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    Consider velocity to the right as positive.

    First mass:

    m₁ = 4.0 kg

    v₁ = 2.0 m/s to the right

    Second mass:

    m₂ = 8.0 kg

    v₂ = - 3.0 m/s to the left

    Total momentum of the system is

    P = m₁v₁ + m₂v₂

    = 4*2 + 8 * (-3)

    = - 16 (kg-m) / s

    Let v (m/s) be the velocity of the center of mass of the 2-block system.

    Because momentum of the system is preserved, therefore

    (m₁+m₂) v = - 16

    (4+8 kg) * (v m/s) = - 16 (kg-m) / s

    v = - 1.333 m/s

    Answer:

    The center of mass is moving at 1.33 m/s to the left.
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