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A bullet of mass mB=1.09?10?2kg is moving with a speed of 101.m/s when it collides with a rod of mass mR=6.51kg and length L=1.04m (shown in the figure). The rod is initially at rest, in a vertical position, and pivots about an axis going through its center of mass. The bullet embeds itself in the rod at a distance L4 from the pivot point. As a result, the bullet-rod system starts rotating.
a) Find the magnitude of the angular velocity, ? , of the bullet-rod system after the collision. You can neglect the width of the rod and can treat the bullet as a point mass.
b) What is the change in kinetic energy in the collision?
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