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An ideal spring has natural length 40 cm and spring constant 500 ~N / m . A block of mass 1 kg is attached at one end of the spring and other end of the spring is attached to ceiling. The block released from the position, where the spring has length 45 ~cm . ( g =10 ~ms ⁻² )

Options

  1. Athe block will perform SHM of amplitude 5 cm .
  2. Bthe block will have maximum velocity 30 5 ~cm / sec
  3. Cthe block will have maximum acceleration 15 ~m / s ^2
  4. Dthe minimum potential energy of the spring will be zero

Correct answer

D. the minimum potential energy of the spring will be zero

Step-by-step solution

Extension is 5 cm and equilibrium is at the extension of 2 cm so Amplitude of SHM is 3 cm Also w= k m =10 5 rad / s aligned & v_ = A =30 5 ~ms ⁻¹ & a _ = ^2 ~A =15 ~ms ⁻² aligned

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