Question

check the correctness of relation k.E = ½mv square​

Answer 1

Answer:

Explanation:

K.E= 1/2 MV^2

the correctness of relation can be test with law of homogeniety of dimensions

law of homogeniety say that LHS and RHS must have same dimensions

therefore, dimensions of K.E = dimensions of 1/2 mv^2

        K.E unit joules , therefore dimension of energy= ML^2T^-2

and of 1/2 mv^2= m x ( l/t )^2

          dimension               = M x L^2 T^-2

   therefore relation is correct.