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Math Help - very stuck

  1. #1
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    very stuck

    hi all,

    first post, im very stuck on this question its a practice paper for my degree exam in may, can you guys have a look and point me in the right direction im completely lost

    In the equation e=√a/h or e=sqrt(a/h),
    the SI units of the quantity a are kg m1 s2 and the SI units of the quantity
    h are kg m3.
    What are the correct SI units for the quantity e?
    You should express your answer in terms of the simplest possible arrangement of
    base units and use the conventional symbols for those units.


    Answer:

    SI units of e =


    thanks in advance
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by leoleo View Post
    hi all,

    first post, im very stuck on this question its a practice paper for my degree exam in may, can you guys have a look and point me in the right direction im completely lost

    In the equation e=√a/h or e=sqrt(a/h),
    the SI units of the quantity a are kg m1 s2 and the SI units of the quantity
    h are kg m3.
    What are the correct SI units for the quantity e?
    You should express your answer in terms of the simplest possible arrangement of
    base units and use the conventional symbols for those units.


    Answer:

    SI units of e =


    thanks in advance
    First of all simplify the expression inside the square root

    \frac{a}{h} = \frac{\text{ kg m}^{-1} \text{ s}^{-2}}{\text {kg m}^{-3}}

    kg will cancel and you can simplify m remembering the laws of indices From there take the square root by halving each power.

    You should get an answer of \text{m s}^{-1} which is speed/velocity.
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