Physics Two Dimensional Motion Question 251

Question: A body of mass $ m $ is moving in a circle of radius $ r $ with a constant speed $ v $ . The force on the body is $ \frac{mv^{2}}{r} $ and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle

[NCERT 1977; RPET 1999]

Options:

A) $ \frac{mv^{2}}{r}\times \pi r $ B)Zero C) $ \frac{mv^{2}}{r^{2}} $ D) $ \frac{\pi r^{2}}{mv^{2}} $

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Answer:

Correct Answer: B

Solution:

Work done by centripetal force is always zero.