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A hollow sphere of mass 'm' and radius R...

A hollow sphere of mass `'m'` and radius `R` rests on a smooth horizontal surface. A simple pendulum having string of length `R` and bob of mass `m` hangs from top most point of the sphere as shown. A bullet of mass `'m'` and velocity `'v'` partially penetrates the left side of the sphere and stick to it. The velocity of the sphere just after collision with bullet is .

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