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JEE Main 2004 (AIEEE) · Work by a Constant Force

Work by a Constant Force question from JEE Main 2004 (AIEEE)

Q23JEE Main 2004 · AIEEEEasy

Work by a Constant Force

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particles takes place in a plane. It follows that

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Answer: (a)

  1. A force always perpendicular to velocity does zero work: P=F⃗⋅v⃗=0P = \vec{F}\cdot\vec{v} = 0.
  2. By the work-energy theorem, KE (and speed) stays constant.
  3. The force changes direction, so acceleration and velocity are not constant and the path is a circle, not a straight line.
  4. So the answer is (a) its kinetic energy is constant.
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