Work done due to centripetal force for circular motion will be:

Explanation

Explanation is given below: The work done due to the centripetal force in circular motion is zero. This is because the centripetal force acts perpendicular to the displacement of the object in its circular path. In other words, the force is always directed toward the center of the circle, while the displacement is along the circumference of the circle. The work done (W) is defined as the dot product of force (F) and displacement (d): W = F * d * cos(θ) Where: W is the work done. F is the force applied. d is the displacement. θ is the angle between the force and the displacement vectors. In the case of centripetal force in circular motion, the angle θ between the force and displacement vectors is 90 degrees (perpendicular), so the cosine of 90 degrees is 0. Therefore, the work done is: W = F * d * cos(90) = F * d * 0 = 0 This means that no work is done by the centripetal force in circular motion because the force is always perpendicular to the direction of motion.