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A uniform rod of length L rests on a frictionless horizontalsurface. The rod is pivoted about a fixed frictionless axis at oneend. The rod is initial at rest. A bullet traveling parallel to thehorizontal surface and perpendicular to the rod with speed vstrikes the rod at its center and becomes embedded in it. Themas of the bullet is 1/6 the mass of the rod.

a) what is the final angular velocity of the rod?
b) What is the ratio of the kinetic energy of the system after thecollision to the kinetic energy of the bullet before the collision?

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