Comprehension: A block of mass m sits on top of a vertical massless spring of constant K = 2 L 3 m g and large natural length, whose free lower end is at height L above a floor. The system is releas

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Comprehension: A block of mass m sits on top of a vertical massless spring of constant K = 2 L 3 m g ​ and large natural length, whose free lower end is at height L above a floor. The system is released from rest with the spring unstressed. As the block comes down, the maximum speed attained is:

TestHub · Accepted Answer

ω 2 = 2 L 3 g ​ , d = 3 2 L ​ , v 0 2 ​ = 2 gL . A 2 = d 2 + ω 2 v 0 2 ​ ​ = 9 4 L 2 ​ + 3 4 L 2 ​ = 9 16 L 2 ​ , A = 3 4 L ​ . v ma x ​ = ω A = 2 L 3 g ​ ​ ⋅ 3 4 L ​ = 3 8 gL ​ ​ .

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