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In a game of pool, the cue ball is rolling at 2.50 m/s in a direction...

In a game of pool, the cue ball is rolling at 2.50 m/s in a direction 35.0° north of east when it collides with the eight ball (initially at rest). The mass of the cue ball is 170.0 g, but the mass of the eight ball is only 156 g. After the completely elastic collision, the cue ball heads off at 1.17° north of east and the eight ball moves off due north.
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