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JEE Advanced2012PhysicsMotion in Two DimensionsActual

A small block is connected to one end of a massless spring of un-stretched length 4.9 ~m . The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 ~m and released from rest at t=0 . It then executes simple harmonic motion with angular frequency = / 3 rad / s . Simultaneously at t=0 , a small pebble is projected with speed v form point

Options

  1. A50 ~m / s
  2. B51 ~m / s
  3. C52 ~m / s
  4. D53 ~m / s

Correct answer

A. 50 ~m / s

Step-by-step solution

Time of flight of projectile, T= 2 V g 1= 2 V 45^ g V= 50 ~ms ⁻¹ Hence pebble is projected with a speed V= 50 ~ms ⁻¹

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