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. Its follows that

Options

A. the velocity of the particle is constant
B. The acceleration of the particle is constant
C. the kinetic energy of the particle is constant
D. the particle moves in a circular path

Answer

C, D

Explanation

The particles moves in a circular path with a uniform speed., because the force has a constant magnitude and is perpendicular to the velocity of the particle. The velocity and acceleration of the particle are not constant because their directions are changing the particle moves in a circular path. The magnitude of the velocity (ie, speed) is constant. Therefore, the kinetic energy `(1)/(2) mv^(2)` is constant.