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Momentum Question, please help?

A block of steel (density = 7.9 g/cm^3) measures 4 inches x 10 inches x 40 inches and is moving at 364 feet per minute. Find the momentum of the block in kg*m/s.

1 Answer

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  • ?
    Lv 6
    9 years ago
    Favorite Answer

    Momentum p in kg*m/s is given by:

    (1) p = m * v,

    where

    m = mass in kg

    v = velocity in m/s

    Mass m is given by:

    (2) m = density * Volume

    (3) Volume = 4 * 10 * 40 = 1600 cu in = 2.62 * 10^4 cm^3

    Substituting (3) in (2):

    (4) m = density * Volume

    = 7.9 * 2.62 * 10^4 = 206980g = 207kg

    Velocity:

    (5) 364 feet per minute = (364 * 0.305) / 60 = 1.85m/s

    Substituting (4) and (5) in (1):

    (6) p = m * v

    = 207kg * 1.85m/s

    = 383kg*m/s

    .

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