Work Done by Centripetal Force – Rankers Physics
Topic: Circular Motion
Subtopic: Non Uniform Circular Motion

Work Done by Centripetal Force

Assertion (A): A body is moving along a circle with a variable angular speed. Work done by centripetal force will be zero.
Reason (R): In non-uniform circular motion, net force on the body is not in the radial direction.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Centripetal force is always perpendicular to displacement, so work done by it is zero. Thus, (A) is true. In non-uniform circular motion, a tangential force exists, so the net force is not purely radial. Thus, (R) is true. However, (R) does not explain (A).

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