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In circular motion, the work done by the centripetal force on the body is-

In circular motion, the work done by the centripetal force on the body is- Correct Answer Zero

CONCEPT:

  • Work done by a force: Work is said to be done by a force on a body when there is a displacement of the body due to that force.

The magnitude of work done is given as:

⇒ W = F.S.Cosθ

where,

W = Magnitude of work done by the force (F) in joule, F = Magnitude of force, in newton, SCosθ  = Component of the Displacement in the direction of the force, in meter

  • When the force and the displacement are in the same direction, the work done is positive.
  • When the force and displacement are in opposite directions, the work done is negative.
  • Work done is zero if force and displacement are perpendicular to each other or if the displacement of the body is zero.

EXPLANATION:

  • For a body in a circular motion, the centripetal force acts towards the center while the direction of motion is always tangential (perpendicular to it).
  • Since the force and the displacement are perpendicular to each other, work done by the centripetal force is zero.

Additional Information

  • If the force and displacement are in the same direction, the work done is positive.
  • If the force and displacement are in the opposite direction, the work done is negative.
  • A constant work done happens when neither the magnitude nor the direction of either force or displacement is changing.

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