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(B) The power delivered by a force is given by $P = \vec{F} \cdot \vec{v}$.Since the force $\vec{F}$ is proportional to acceleration $\vec{a}$ (by New

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kinetic energy is constant

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(B) The power delivered by a force is given by $P = \vec{F} \cdot \vec{v}$.Since the force $\vec{F}$ is proportional to acceleration $\vec{a}$ (by Newton's second law, $\vec{F} = m\vec{a}$), the condition that velocity $\vec{v}$ and acceleration $\vec{a}$ are perpendicular implies that $\vec{F} \cdot \vec{v} = 0$.Therefore, the power delivered to the particle is zero $(P = 0)$.Since power is the rate of change of kinetic energy $(P = \frac{dK}{dt})$, $P = 0$ implies that the kinetic energy $K$ is constant.Thus, the kinetic energy of the particle remains constant throughout the motion.

$A$ particle is acted upon by a force of constant magnitude such that its velocity and acceleration are always perpendicular to each other, then its

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