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KCET2026PhysicsOscillations

A mass of 1 kg is executing SHM. Its displacement is given by x = 6.0 (100t + /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

Given m = 1 kg and x = 6.0 (100t + /4) cm. Comparing with the standard equation of SHM x = A ( t + ) , we get: A = 6.0 cm = 0.06 m = 100 rad/s The maximum velocity of the particle is given by v_ max = A . v_ max = 0.06 100 = 6 m/s The maximum kinetic energy is given by K_ max = 1 2 mv_ max ^2 . K_ max = 1 2 1 (6)^2 = 18 J Answer: 18 J

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