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AP EAMCET20227 Jul 2022Evening ShiftPhysicsMotion in Two DimensionsActual

A particle is moving on a circular path with a constant speed v . Its change of velocity as it moves from A to B in the figure is

Options

  1. A2 v 2
  2. Bv
  3. Cv 2 2
  4. D2 v

Correct answer

A. 2 v 2

Step-by-step solution

The given situation is shown below From above figure we can observe that velocity vector (tangential to circle) can be resolved into horizontal (v 2 ) and vertical (v 2 ) components. As, particle is executing uniform circular motion, magnitudes of components remains same but direction of vertical component is reversed. So, Initial velocity v₁=v 2 i +v 2 j and final velocity, v₂=v 2 i -v 2 j Change in velocity aligned & = final velocity - Initial velocity & =v₂-v₁ & = (v 2 i -v 2 j )- (v 2 i +v 2 j ) & =-2 v 2 j ali

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