Mass and Spring: A 3.4 kg mass hangs in equilibrium from a spring. When the mass is displaced by 0.08 m and released from rest, it reaches a top speed of 2.5 m/s as it oscillates. A group of students records the motion of the spring for 242 seconds and deduces the system has a quality factor of Q = 4520. (a) What is the period of oscillation? (b) What is the spring constant of the spring?

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### Mass and Spring 
A 3.4 kg mass hangs in equilibrium from a spring. When the mass is displaced by 0.08 m and released from rest, it reaches a top speed of 2.5 m/s as it oscillates. A group of students records the motion of the spring for 242 seconds and deduces the system has a quality factor of \( Q = 4520 \).

#### (a) What is the period of oscillation?

#### (b) What is the spring constant of the spring?
Transcribed Image Text:### Mass and Spring A 3.4 kg mass hangs in equilibrium from a spring. When the mass is displaced by 0.08 m and released from rest, it reaches a top speed of 2.5 m/s as it oscillates. A group of students records the motion of the spring for 242 seconds and deduces the system has a quality factor of \( Q = 4520 \). #### (a) What is the period of oscillation? #### (b) What is the spring constant of the spring?
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