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(A) In a horizontal circular motion,the centripetal force acts towards the center of the circle,while the displacement of the sphere at any instant is

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(A) In a horizontal circular motion,the centripetal force acts towards the center of the circle,while the displacement of the sphere at any instant is along the tangent to the circular path.Since the centripetal force is always perpendicular to the direction of displacement (velocity vector),the angle $	heta$ between the force and the displacement is $90^{\circ}$.The work done $W$ is given by the formula $W = F \cdot s \cdot \cos(	heta)$.Since $\cos(90^{\circ}) = 0$,the work done by the centripetal force in one full horizontal circle is $0$.

$A$ sphere of mass $m$ is tied to one end of a string of length $l$ and rotated through the other end along a horizontal circular path with speed $v$. The work done in a full horizontal circle is

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