Kinetic energy of a body depends upon mass (m) and velocity (v) of the body.
where,
k = dimensionless constant of proportionality.
Taking dimensions on both sides of equation (1),
Equating dimensions of L, M, T on both sides of equation (2),
x = 1 and y = 2,
Substituting x, y in equation (1), we have
K.E. = kmv2
