Question

prove that KE = 1/2 mv^2 dimensionally

Answer 1

ya us now that every energy is has dimensions M1L2T-^2 AND in this case
$mass \: = m1 \:$
and Velocity=L1T-^1 hence by square the velocity you get L^2T-^2 then by multiply by M1(I written m1) you will get same dimensions

Answer 2

Answer:

You will get same as lloyd has given above