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KVPY2013PhysicsMotion in One Dimension

A point particle of mass 0.5 ~kg is moving along the x -axis under a force described by the potential energy V shown below. It is projected towards the right from the origin with a speed v . What is the minimum value of v for which the particle will escape infinitely fasr away from the origin?

Options

  1. A2 2 ~ms ⁻¹
  2. B2 ~ms ⁻¹
  3. C4 ~ms ⁻¹
  4. DThe particle will never escape

Correct answer

B. 2 ~ms ⁻¹

Step-by-step solution

1 2 m v²+0=0+1v²=4 or v=2 ~m / s

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