Check whether the equation F.S = 1/2(mv^2 - mu^2) is dimensionally correct, where m is mass of the body, v its final velocity,u its initial velocity, F is force applied and S is the distance moved. 

We know the dimension of force as [MLT-2
and the dimension of v and u = [LT-1]
and the dimension of s=[L] and dimension of mass=[M]
∴[MLT-2​] x ​[L] = [M][LT-1]+ ​[M][LT-1]2
[ML2T-2] = [​ML2T-2] + [ML2T-2]
 ​
∴ THIS EQUATION IS DIMENSIONALLY CORRECT
 

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