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A wooden speaker with a mass of 12.57 kg is attached to a light spring with a spring constant of 145 N/m. The system is put onto a horizontal frictionless table where the spring is stretched by 0.736 m from equilibrium and released. The speakers emit a frequency of 450 Hz when stationary.

(i) What is the period of the oscillation?

(ii) Calculate the amount of energy in the system.

(iii) What is the maximum velocity of the speakers?

(iv) If the speaker sound travels directly to you at 343 m/s, what is the lowest frequency you will hear?

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