A bullet of mass (m=120 mathrm{~g}) strikes horizontally, with velocity (v_{0}), a body of mass (M=250 mathrm{~g}),

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A bullet of mass \(m=120 \mathrm{~g}\) strikes horizontally, with velocity \(v_{0}\), a body of mass \(M=250 \mathrm{~g}\), hanging vertically from a pin by an ideal cable of length \(L=1.2 \mathrm{~m}\). Assuming that the collision between the two bodies is completely inelastic, find the minimum value of \(v_{0}\) for which the body+bullet system is able to make a complete turn without the thread loosening. Also, find the fraction of energy lost in the collision.

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