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11 August, 01:23

Why did the civil war / 13th amendment and women's right to vote / amendment 19 happened?

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  1. 11 August, 04:50
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    (a)

    Let:

    a be the acceleration of the system,

    g be the acceleration due to gravity,

    T be the tension in the string.

    For mA:

    T = mA a

    For mB:

    mB g - T = mB a

    Adding to eliminate T:

    mB g = (mA + mB) a ... (1)

    a = mB g / (mA + mB)

    = 7.0 * 9.81 / (11.0 + 7.0)

    = 3.815 m/s^2

    = 3.82 m/s^2 to 3 sig. fig.

    (b)

    Let:

    s be the distance to the edge of the table,

    t be the time taken.

    s = at^2 / 2

    t = sqrt (2s / a)

    = sqrt (2 * 1.250 / 3.815)

    = 0.810 sec to 3 sig. fig.

    (c)

    From (1):

    (mA + mB) (a / g) = mB

    mA (a / g) = mB (1 - a / g)

    mA = mB (g / a - 1)

    = 4.0 (100 - 1)

    = 396 kg.
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