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NEET2018PhysicsWork, Power and EnergyActual

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter A B = D . The height h is equal to,

Options

  1. A7 5 D
  2. BD
  3. C3 2 D
  4. D5 4 D

Correct answer

D. 5 4 D

Step-by-step solution

To just complete a vertical circle, speed at A should be v A = 5 g R Using energy conservation m g h = 1 2 m v A 2 h = 1 2 v A 2 g = 1 2 5 g g D 2 R = D 2 h = 5 D 4

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