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A bullet of mass mB = 0.0149 kg is moving with a speed of 102 m/s when it collides with a rod of mass mR = 7.85 kg and length L= 1.08 m (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 imbeds itself in the rod at a distance L/4 from the pivot point. As a result, the bullet-rod system starts rotating.
a) Find 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) How much kinetic energy is lost in the collision? (Hint: Please enter a positive number for your answer! If ?K < 0, then the amount of kinetic energy lost is a positive number.)
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