(b) Show that the quantity 2K/v2 has the unit of mass, where K is the kinetic energy of the body.
Solutions:
According to the question,
(a) The expression for kinetic energy of a body of mass m moving with a velocity v is given by
Kinetic energy = 1 / 2 × mass × (velocity)2 = 1 / 2 mv2
(b) 2K / v2 = Joules / (ms-1)2 = (kgms-2 × m) / m2s-2
= kg
Therefore, Kg is the unit of mass