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

Question

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

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Solution

The particle is moving in a circular path.

Here's why:

  1. The force acting on the particle is always perpendicular to its velocity. This means that the force is centripetal, or directed towards the center of a circular path.

  2. A centripetal force does not do work on the particle because the direction of the force is always perpendicular to the direction of motion. Therefore, the speed of the particle remains constant, but its direction changes continuously.

  3. The constant change in direction of the particle, while maintaining constant speed, means that the particle is moving in a circular path.

  4. Since the motion is in a plane, the path is a perfect circle.

So, the particle is moving in a circular path.

This problem has been solved

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