If the linear momentum of a particle is known, can you find its kinetic energy? if the kinetic energy of a particle is known can you find its linear momentum?
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.