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General
Easy

Question

Two springs with negligible masses and force constant of K subscript 1 end subscript equals 200 N m to the power of negative 1 end exponent text  and  end text K subscript 2 end subscript equals 160 N m to the power of negative 1 end exponent are attached to the block of mass m = 10 kg as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time t = 0, a sharp impulse of 50 Ns is given to the block with a hammer.

  1. Period of oscillations for the mass m is fraction numerator pi over denominator 3 end fraction s    
  2. Maximum velocity of the mass m during its oscillation is 5 ms–1.    
  3. Data are insufficient to determine maximum velocity    
  4. Amplitude of oscillation is 0.42 m    

The correct answer is: Period of oscillations for the mass m is fraction numerator pi over denominator 3 end fraction s

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