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Math Help - Physics: Dimensional Analysis Question (Newtons Second Law)

  1. #1
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    Physics: Dimensional Analysis Question (Newtons Second Law)

    Hi everyone, I have a quick question about a HW question for Physics.

    The question asks: If acceleration = force/mass (aka Newton's second law), what are the dimensions of force ?

    So far, what I have is a=f/m, then f = a*m, so f = [L]/[T]^2 * m
    However, no where in the book am I able to find the dimension of mass. Would it just be [M] ?

    Thanks for your help!
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  2. #2
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    Quote Originally Posted by SMA777 View Post
    Hi everyone, I have a quick question about a HW question for Physics.

    The question asks: If acceleration = force/mass (aka Newton's second law), what are the dimensions of force ?

    So far, what I have is a=f/m, then f = a*m, so f = [L]/[T]^2 * m
    However, no where in the book am I able to find the dimension of mass. Would it just be [M] ?

    Thanks for your help!
    Yes. Read this: Dimensional analysis - Wikipedia, the free encyclopedia
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  3. #3
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    Quote Originally Posted by SMA777 View Post
    Hi everyone, I have a quick question about a HW question for Physics.

    The question asks: If acceleration = force/mass (aka Newton's second law), what are the dimensions of force ?

    So far, what I have is a=f/m, then f = a*m, so f = [L]/[T]^2 * m
    However, no where in the book am I able to find the dimension of mass. Would it just be [M] ?

    Thanks for your help!
    The fundamental dimensions in dimensional analysis are mass [M], length [L] and time [T], these are what a dimensional analysis should be expressed in terms of.

    CB
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    Thank you both very much
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