A particle is acted upon by a force of constant magnitude...

Name: Problem 63, Chapter 4: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-11-01T19:30:24-08:00
Duration: 1 min 37 s
Channel: Mahipal Kumawat
Description: 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 (A) its velocity is constant. (B) its acceleration is constant. (B) its kinetic energy is constant. (D) it moves in a circular path.

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 (A) its velocity is constant. (B) its acceleration is constant. (B) its kinetic energy is constant. (D) it moves in a circular path.

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
(A) its velocity is constant.
(B) its acceleration is constant.
(B) its kinetic energy is constant.
(D) it moves in a circular path.

Key Concepts

Force Perpendicular to Velocity

When a force is always perpendicular to the velocity of a particle, it does no work on the particle because the work done is proportional to the component of force along the displacement. This means that while the direction of the velocity vector may change, its magnitude (or speed) remains unaltered.

Work-Energy Theorem

The work-energy theorem states that the net work done on an object is equal to its change in kinetic energy. Since a force perpendicular to the motion does zero work, there is no change in kinetic energy, implying that the speed of the particle remains constant throughout its motion.

Uniform Circular Motion

Uniform circular motion describes the motion of a particle traveling at a constant speed along a circular path. In this type of motion, the acceleration is always directed towards the center of the circle (centripetal acceleration), which, provided by the perpendicular force, continually alters the direction of the velocity without changing its magnitude.

Centripetal Acceleration

Centripetal acceleration is the acceleration directed towards the center of the circular path necessary for an object to change its direction as it travels along that path. Even though the speed (and thus kinetic energy) remains constant, the continual change in the velocity's direction results in an acceleration whose magnitude is determined by the speed and the radius of the circular path.

Transcript

Please give Ace some feedback