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An ideal spring dangles from the ceiling at its relaxed length of 5 cm. A 3-kg...

An ideal spring dangles from the ceiling at its relaxed length of 5 cm. A 3-kg mass is carefully hung from the end of the spring while the spring is relaxed, and then the mass is released from rest at time t = 0, which begins to stretch the spring. The spring stretches to its maximum length at time t = 130 ms when the mass reaches its lowest point. Then the mass returns upward, shortening the spring. The oscillation diminishes due to linear drag so that the spring quickly settles to a length of 6.5 cm, holding the mass at a constant height.

Calculate the maximum length that the spring reaches during this motion. Calculate to within 10 ppm, and express your answer in centimeters.

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genius_generous answered 2 years ago
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