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A mass of Hg is executing SHM which is given by x=6.0 (100 t+ 4 ) cm . What is the maximum kinetic energy?

Options

  1. A3 J
  2. B6 J
  3. C9 J
  4. D18 J

Correct answer

D. 18 J

Step-by-step solution

Here, m =1 ~kg The given equation of SHM is x=6.0 (100 t+ 4 ) Comparing it with equation of SHM, aligned x & =A ( t+ ), we have A & =6.0 ~cm = 6 100 ~m aligned and =100 rad / s Maximum kinetic energy = 1 2 ~m ( v _ )^2= 1 2 ~m ( ~A )^2= 1 2 1 [ 6 100 100 ]^2=18 ~J

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