A body of mass m moves in a circular path wit | vedclass

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(D) In uniform circular motion,the speed of the body is constant because the magnitude of the velocity vector $\vec{v}$ is given by $|\vec{v}| = |\vec

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Kinetic energy

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(D) In uniform circular motion,the speed of the body is constant because the magnitude of the velocity vector $\vec{v}$ is given by $|\vec{v}| = |\vec{\omega}| r$,where $|\vec{\omega}|$ is the constant angular velocity and $r$ is the radius of the circular path.Since the speed $|\vec{v}|$ is constant,the kinetic energy $K = \frac{1}{2} m |\vec{v}|^2$ remains constant.However,the velocity vector $\vec{v}$ changes direction continuously,so velocity is not constant.The momentum $\vec{p} = m\vec{v}$ also changes direction continuously,so momentum is not constant.The centripetal acceleration $\vec{a}_c = \vec{\omega} 	imes \vec{v}$ changes direction as the body moves,so acceleration is not constant.Therefore,only the kinetic energy remains constant throughout the motion.

$A$ body of mass $m$ moves in a circular path with uniform angular velocity. The motion of the body has constant

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