If E=1/2Av^2+Bmx find the dimensions of A and B(Where E is energy,v,m and x are velocity,mass and distance respectively)

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If E=1/2Av^2+Bmx find the dimensions of A and B(Where E is energy,v,m and x are velocity,mass and distance respectively)

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Mít Mít 3 years 2021-08-03T20:10:21+00:00 1 Answers 3 views 0

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  1. Vodka
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    2021-08-03T20:11:59+00:00
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    Answer:

    A = [kg]

    B = [m/s²]

    Explanation:

    E = ½ Av² + Bmx

    Substitute the units:

    [J] = ½ A [m/s]² + B [kg] [m]

    A Joule written in base units is:

    1 J = 1 Nm = 1 kg m²/s²

    Each term must have the same units.

    [kg m²/s²] = A [m/s]²

    [kg m²/s²] = A [m²/s²]

    A = [kg]

    [kg m²/s²] = B [kg] [m]

    B = [m/s²]

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