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(B) Let the mass of the body be $m$ and the velocity of the body be $v$,such that it has momentum $p$ and kinetic energy $E$.Momentum is given by $p =

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Parabola

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(B) Let the mass of the body be $m$ and the velocity of the body be $v$,such that it has momentum $p$ and kinetic energy $E$.Momentum is given by $p = mv$.Squaring both sides,we get $p^2 = m^2 v^2$.Kinetic energy is given by $E = \frac{1}{2} mv^2$.We can rewrite this as $E = \frac{m^2 v^2}{2m} = \frac{p^2}{2m}$.Since $m$ is constant for a given body,we have $E \propto p^2$.This equation is of the form $y = kx^2$,which represents a parabola.Therefore,the nature of the graph between the momentum and kinetic energy of a body is a parabola.

What is the nature of the graph between the momentum of a body and its kinetic energy?

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