Is the following equation dimensionally correct?
E = (1/2) mv
E = energy
m = mass
v = speed
The Attempt at a Solution
1. I understand that the 1/2 is irrelevant.
2. I broke everything down into length, time, and mass.
3. I got ML^2/T^2 = ML/T
4. My confusion is that if you square L and T on the left side, you still have length and time so I mean essentially, you have the same types of quantities on both sides of the equation in the same order, so I want to say it is correct, however the fact that L and T are squared on the left side but not on the right side bugs me and I'm doubtful.