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A 100 g mass is attached to the end B of an elastic string AB with stiffness 16 Nm and natural length 0.25 m,

A 100 g mass is attached to the end B of an elastic string AB with stiffness 16 Nm and natural length 0.25 m, the end A being fixed. The mass is pulled down from A until AB is 0.5 m and then released. Find the velocity of the mass when the string first becomes slack and show that the mass comes to rest when it reaches A.

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