A ball of mass m is attached to a string whos | vedclass

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(A) The work done by a force is given by $W = \vec{F} \cdot \vec{d} = F d \cos(		heta)$,where $	heta$ is the angle between the force and the displac

Vedclass · Accepted Answer

Tension is always perpendicular to the direction of motion of the ball.

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(A) The work done by a force is given by $W = \vec{F} \cdot \vec{d} = F d \cos(		heta)$,where $	heta$ is the angle between the force and the displacement vector.In the case of a ball attached to a string,the tension force acts radially inward towards the center of rotation.The velocity (and thus the instantaneous displacement) of the ball is always tangential to the circular path.Since the radius is always perpendicular to the tangent,the angle between the tension force and the displacement is $90^{\circ}$.Therefore,the work done by tension is $W = T d \cos(90^{\circ}) = 0$.

$A$ ball of mass $m$ is attached to a string whose other end is fixed. The system is free to rotate in a vertical plane. When the ball swings,no work is done on the ball by the tension in the string. Which of the following statements is the correct explanation?

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