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QUESTION: if all terms in an equation have same units, will they have same dimension? if dimensions are same will terms have same unit?

ANSWER: Yes to the first, no to the second. the dimensions on both sides of an equals sign have to be the same. Such as work = force times acceleration

---------- FOLLOW-UP ----------

QUESTION: can you make it more clear by an example with equation

I wrote the equation wrong.

Force = mass times acceleration = (kg)(m/s^2)

the unit for force is the Newton which is dimensionally kgm/s^2

Work = force times distance = Newton-meter

the unit for work (or energy) is a Joule which is dimensionally kgm^2/s^2

I just gave you two examples where the dimensions are the same on both sides of the equation.

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Comment | your example made it even more messy. please elaborate. few more words won't cost you. |

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