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JEE Main20244 Apr 2024Evening ShiftPhysicsWork, Power and EnergyActual

A body of m ~kg slides from rest along the curve of vertical circle from point A to B in friction less path. The velocity of the body at B is: (given, R=14 ~m , g=10 ~m / s ^2 and 2 =1.4 )

Options

  1. A16.7 ~m / s
  2. B19.8 ~m / s
  3. C10.6 ~m / s
  4. D21.9 ~m / s

Correct answer

D. 21.9 ~m / s

Step-by-step solution

Apply W.E.T. from A to B aligned & W _ mg = K _ B - K _ A & mg ( R 2 + R )= 1 2 mv _ B ^2-0 v _ A =0 rest & mgR ( 2 +1) 2 = 1 2 mv _ B ^2 & gR 2( 2 +1) 2 = v _ B & 10 14 2(2.4) 1.4 = v _ B & 21.9= v _ B aligned

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