Question

graph between kinetic energy and momentum of the body will be​

Answer 1

Graph between Kinetic Energy & Momentum will be a PARABOLA.

Let us see a detailed explanation:

• KE is given as : KE = ½ mv² , where m is mass and v is velocity.

• Linear momentum is given as : P = m × v.

Now, we know :

$KE = \dfrac{1}{2} m {v}^{2}$

• Multiplying numerator & denominator by m:

$\implies KE = \dfrac{1}{2m} {(mv)}^{2}$

$\implies KE = \dfrac{ {P}^{2} }{2m}$

• For constant mass m :

$\implies KE \propto {P}^{2}$

So, graph will be parabolic.