Moderate

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

Correct answer: D. Its motion is circular

  • A. Its velocity is constant
  • B. Its acceleration is constant
  • C. Its motion is linear
  • D. Its motion is circular

Explanation

The correct answer is option D: Its motion is circular. This option suggests that the particle's motion is circular. This statement is the most plausible based on the information provided. The force acting perpendicular to the velocity of the particle results in circular motion. The force provides the centripetal force necessary to keep the particle moving in a circular path.

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About Angular and Linear Quantities

Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.

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