Momentum of a particle of mass ‘m’ and velocity ‘v’ (magnitude) is given by

… (1)

and its kinetic energy is given by

… (2)

From equation (1) and (2), we can express the kinetic energy of the particle as

.

Similarly, momentum can be expressed as,

.

So, we can find the kinetic energy of the particle from its momentum and vice-versa.

*Note: We can only find the magnitude of momentum from kinetic energy.