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Angular Momentum and Impulse in a Collision

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A uniform 4.0 kg rod of length 2.0 m is rotating about its center with an initial angular momentum of 12 kg·m²/s. A 2.0 kg ball of negligible size, traveling perpendicular to the rod, strikes one of its ends. As a result of the collision, the rod’s angular velocity decreases by 25%. What is the magnitude of the impulse delivered to the ball?

A

3.0 N·s

B

6.0 N·s

C

4.5 N·s

D

1.5 N·s

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