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Variables This should be easy -- Matched units on LHS & RHS?

  1. Jan 13, 2015 #1
    Variable Units
    x Meters (m)
    v Meters per second (m/s)
    t seconds (s)
    a Meters per second squared (m/s^2)


    These variables appear in the following equations, along with a few numbers that have no units. In which of the equations are the units on the left side of the equals sign consistent with the units on the right side?



    (a) x = vt
    Yes or No?

    (b) x = vt + 1/2 at^2
    Yes or No?

    (c) v = at
    Yes or No?

    (d) v = at + 1/2 at^3
    Yes or No?

    (e) v^3 = 2ax^2
    Yes or No?

    (f) t = square root(2x/a)
    Yes or No?" itemprop="text">The following table lists four variables along with their units.


    Variable Units
    x Meters (m)
    v Meters per second (m/s)
    t seconds (s)
    a Meters per second squared (m/s^2)


    These variables appear in the following equations, along with a few numbers that have no units. In which of the equations are the units on the left side of the equals sign consistent with the units on the right side?



    (a) x = vt
    Yes or No?

    (b) x = vt + 1/2 at^2
    Yes or No?

    (c) v = at
    Yes or No?

    (d) v = at + 1/2 at^3
    Yes or No?

    (e) v^3 = 2ax^2
    Yes or No?

    (f) t = square root(2x/a)
    Yes or No?

    A B C F are all yes's right and D and E are no's right? If this is correct can someone try walking me through how to show my work for my answer. I can just see with my eyes what is going to work with past experiences but no way to actually describe why.
     
  2. jcsd
  3. Jan 13, 2015 #2

    BiGyElLoWhAt

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    Gold Member

    Try replacing all the variables with the units associated with it, then carry out the operations. For the first one:
    x=vt
    m=(m/s)*s
    Does that work out?
     
  4. Jan 13, 2015 #3

    BiGyElLoWhAt

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    Gold Member

    Also, yes.
     
  5. Jan 13, 2015 #4

    DrClaude

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    Staff: Mentor

    kng1994, you have to use the homework template when posting a homework question and you absolutely have to write an attempt at a solution.
     
  6. Jan 13, 2015 #5

    BiGyElLoWhAt

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    Gold Member

    Seconded. I was tired last night and not paying attention, otherwise I would have (presumably) mentioned that.
    While you have answers, those answers are not work.
     
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