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A particle is acted upon by a force of constant magnitude that is always perpendicular to the velocity of the particle. The motion takes place in a plane. It follows that

1. its velocity is constant
2. its acceleration is constant
3. its kinetic energy is constant
4. it moves in a straight line

Correct answer: its kinetic energy is constant

Solution

A force perpendicular to velocity does no work because the dot product of force and displacement is zero at every instant. With no work done, the kinetic energy remains unchanged. The speed may change direction, but the kinetic energy stays constant.

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