Categories > Motion in A Plane > A body of mass \[m\] is moving in a circle of radius \[r\] with a constant speed \[v\]. The force on the body is \[\frac{{m{v^2}}}{r}\] 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

Motion in A Plane

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 \[\frac{{m{v^2}}}{r}\] 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


1) \[\frac{{m{v^2}}}{r} \times \pi r\]
2) Zero
3) \[\frac{{m{v^2}}}{{{r^2}}}\]
4) \[\frac{{\pi {r^2}}}{{m{v^2}}}\]
Solution: Explanation: Explanation

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