Question

state the relationship between Kinetic energy and momentum of a body

Answer 1

The momentum of a particle is given by the equation, P = mv, where P is themomentum of the particle, m is the mass of the particle, and v is the velocity of the particle. ... And it is the square of the velocity in the kinetic energy equationwhich makes this effect possible.

Answer 2

$ke = \frac{1}{2} m {v}^{2} \\ momentum(p) = mv \\ now \\ 2ke = m {v}^{2} \\ 2ke \times m = {m}^{2} {v}^{2} \\ 2ke \times m = {(mv)}^{2} \\ 2ke \times m = {p }^{2} \\ p = \sqrt{2ke \times m} \\ also \\ 2ke = m {v}^{2} \\ \frac{2ke}{v} = mv \\ \frac{2ke}{v} = p \\ 2ke = pv$
hope it helps