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NDA 2025 GAT · General Knowledge · Motion, Forces and Gravitation · medium

A stone tied to a string is whirled in a horizontal circle with uniform speed. The work done by the tension in the string in one complete revolution…

Single correct option

A stone tied to a string is whirled in a horizontal circle with uniform speed. The work done by the tension in the string in one complete revolution is
  1. A. zero
  2. B. equal to the kinetic energy of the stone
  3. C. equal to tension multiplied by the circumference
  4. D. negative of the kinetic energy of the stone
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Answer: (A) zero

Tension acts along the radius towards the centre while the displacement at every instant is along the tangent, so the angle between force and displacement is 90 degrees and W = F d cos 90° = 0. The kinetic energy is constant because speed is constant, so by the work-energy theorem the net work is zero. Multiplying force by circumference ignores the direction.
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