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...
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?