Question

Laquanda uses a trick shot off of the eight ball to sink the 12 in the corner pocket. She imparts a velocity of 45m/sec to the cue ball which stops instantly after the collision, the eight ball follows the twelve slowly into the pocket at 5m/sec. What is the speed of the twelve ball as it goes into the pocket if all the balls are equally weighted at .16kg?

Answer 1

Answer on Question #68006-Physics-Mechanics-Relativity

Laquanda uses a trick shot off of the eight ball to sink the 12 in the corner pocket. She imparts a velocity of $45\mathrm{m/sec}$ to the cue ball which stops instantly after the collision, the eight ball follows the twelve slowly into the pocket at $5\mathrm{m/sec}$ . What is the speed of the twelve ball as it goes into the pocket if all the balls are equally weighted at .16kg?

Solution

From the conservation of momentum:

$$m v _ {c u e} = m v _ {8} + m v _ {1 2}$$ $$v _ {c u e} = v _ {8} + v _ {1 2}$$ $$v _ {1 2} = v _ {c u e} - v _ {8} = 4 5 - 5 = 4 0 \frac {m}{s}.$$

Answer: $40\frac{m}{s}$

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