Which one of the quantities below has dimensions equal to ML/T^2?

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The discussion focuses on identifying which quantity has dimensions of ML/T², relevant for calculating force in circular motion. The options provided include various expressions involving mass (m) and velocity (v). The conclusion drawn is that option c, mv²/r, is correct, as it simplifies to the required dimensions. The reasoning involves breaking down velocity and recognizing that v² equates to L²/T², leading to the cancellation of units. The participants confirm that option c is indeed the correct answer.
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Homework Statement


Which one of the quantities below has dimensions equal to [ML/T2]?


Homework Equations


a. mv
b. mv2
c. mv2/r
d. mvr
e. mv2/r2


The Attempt at a Solution



I know that ML/T2 is for calculating force for circular motion (I believe)
Therefore after breaking it all down I come to the following conclusions

F = ma
F = m x (v1-v2)/t1-t2
THEREFORE Iam inclined to answer that c is the correct answer, but I am not sure if I am on the correct path, or in left field...
CAN ANYONE HELP ME?
 
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The answer is C.

Velocity is just L/T. So V2 equals (L/T)2. R = L so one of the L's cancel and you are left with answer C.
 

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