Check the correctness of the equation `E=mc^(2)` using dimensional analysis method.

Check the correctness of the equation 1/2 mv^(2) = mgh using dimensional analysis method.

Check the correctness of relation F=(mv^(2))/(r ) using dimensional analysis.

Check the correctness of the equation v=(K eta)/(r rho) using dimensional analysis, where v is the critical velocity eta is the coefficient of viscosity, r is the radius and rho is the density?

Check the correctness of the relation S = ut + 1/2at^2 using dimensional analysis.