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Math Help - Cancelling Terms Help

  1. #1
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    Cancelling Terms Help

    In the equation

    Ve = sqrt (N m^2/kg^2 kg)/m

    With the next step being

    Ve = sqrt (N m/kg)

    Why do the kg's cancel? I understand why the m's do: They're on opposite sides of the division operator. The kg's however, have me stumped.

    An explanation of the involved concept would be helpful...
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  2. #2
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    Quote Originally Posted by Thrawn View Post
    In the equation

    Ve = sqrt (N m^2/kg^2 kg)/m

    With the next step being

    Ve = sqrt (N m/kg)

    Why do the kg's cancel? I understand why the m's do: They're on opposite sides of the division operator. The kg's however, have me stumped.

    An explanation of the involved concept would be helpful...
    Maybe this is what you mean.
    Attached Thumbnails Attached Thumbnails Cancelling Terms Help-picture7.gif  
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  3. #3
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    It seems there are two ways of doing it... at least it seems. What I have, currently, is

    Ve = sqrt (Ve = sqrt (N m^2/kg^2 kg)/m

    Ve = sqrt (N m/kg)

    Ve = sqrt ((kg m/s^2)m/kg)

    Ve = sqrt (m/s^2)m

    Ve = sqrt (m^2/s^2)

    Ve = m/s

    Would this be correct? Did I miss a step?
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  4. #4
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    Quote Originally Posted by Thrawn View Post
    Would this be correct?
    Does it match with mine? No.
    Thus, can this be correct? No.
    Did I miss a step?
    Why does the N "disappear"?
    With what can it cancel will.
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  5. #5
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    Quote Originally Posted by ThePerfectHacker View Post
    Does it match with mine? No.
    Thus, can this be correct? No.

    Why does the N "disappear"?
    With what can it cancel will.
    The N, which stands for newtons, is expanded into its component parts in the next part of equation.

    EDIT: The answer should be a unit of velocity...
    Last edited by Thrawn; February 28th 2007 at 08:25 PM.
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  6. #6
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    Quote Originally Posted by Thrawn View Post
    It seems there are two ways of doing it... at least it seems. What I have, currently, is

    Ve = sqrt (Ve = sqrt (N m^2/kg^2 kg)/m

    Ve = sqrt (N m/kg)

    Ve = sqrt ((kg m/s^2)m/kg)

    Ve = sqrt (m/s^2)m

    Ve = sqrt (m^2/s^2)

    Ve = m/s

    Would this be correct? Did I miss a step?
    Please note that your original expression is incorrect:

    Ve = sqrt (N m^2/kg^2 kg/m)
    Note the placement of the closing parethesis. This is possibly why you are getting an incorrect result.

    -Dan
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