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Two identical small balls, each of mass ...

Two identical small balls, each of mass `m`, are connected by a massless and inextensible string of length `l` and placed on a smooth horizontal `xy` plane. An external agent pulling the string from its mid-point along `y`-axis with velocity `v_(0)` as shown in Fig. When the separation between the two balls reduces to `l//2` then the speed of each ball will be

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