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A 275 g mass rests on a frictionless surface and is attached to an unknown horizontal...

A 275 g mass rests on a frictionless surface and is attached to an unknown horizontal spring. It is stretched 2.50 cm and released, and the oscillation of the system has a frequency of 1.00 Hz.

  1. What is the force constant of the spring? (3)
  2. What is the mechanical energy of system? (3)
  3. Over 12.0 s, the amplitude decreases to 1.75 cm. What is the damping constant? (4)
  4. Bonus: what would the damping constant be if the system is critically damped? (2)
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