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

Name: Problem 3, Chapter 4: A Complete Resource Book in Physics for JEE Main
Uploaded: 2021-10-05T14:08:24-08:00
Duration: 2 min 12 s
Channel: Dheeraj Sharma
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. (C) Its kinetic energy is constant. (D) It moves in a straight line.

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. (C) Its kinetic energy is constant. (D) It moves in a straight line.

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.
(C) Its kinetic energy is constant.
(D) It moves in a straight line.

Key Concepts

Perpendicular Force

A force that is always perpendicular to the velocity of a particle does not alter the magnitude of the velocity but only its direction. This principle is crucial in understanding that while the particle's speed remains unchanged due to the absence of work done by the force, the overall velocity vector is continually redirected.

Work-Energy Principle

The work-energy theorem states that the work done on an object results in a change in its kinetic energy. When a force is perpendicular to the displacement, it does no work; therefore, the kinetic energy of the particle, which depends on its speed, remains constant despite any change in direction.

Uniform Circular Motion

Uniform circular motion occurs when a particle moves in a circle with constant speed. In this scenario, the constant-magnitude force perpendicular to the velocity acts as the centripetal force, maintaining the particle's circular path by continually changing the direction of its velocity without doing work.

Acceleration in Circular Motion

Even though the speed of a particle in uniform circular motion is constant, the velocity is continuously changing due to the constant change in direction. This change in velocity is described as centripetal acceleration, which has a constant magnitude but a direction that continuously points toward the center of the circular path.

Transcript

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