In a game of pool, the cue ball moves at a speed of 2 m/s toward the eight ball. When the cue ball hits the eight ball, the cue ball bounces off with…

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In a game of pool, the cue ball moves at a speed of 2 m/s toward the eight ball. When the cue ball hits the eight ball, the cue ball bounces off with a speed of 0.8 m/s at an angle of 20°, as shown in the diagram below. Both balls have a mass of 0.6 kg.

a. What is the momentum of the system before the collision? (Write it in component form.) (1 point)

b. What is the momentum of the system after the collision? (1 point)

c. Write the velocity of the cue ball after the collision in component form. (1 point)

d. What is the x-component of the velocity of the eight ball after the collision? (2 points)

e. What is the y-component of the velocity of the eight ball after the collision? (2 points)

f. At what angle does the eight ball travel after the collision? (2 points)

g. What is the magnitude of the eight ball’s velocity after the collision? (1 point)

Question 3 (9 points)

Puck 1 is moving 10 m/s to the left and puck 2 is moving 8 m/s to the right. They have the same mass, m.

a. What is the total momentum of the system before the collision? ] answer in terms of the mass, m.) (1 point)

b. What is the total momentum of the system after the collision? ( answer in terms of the mass, m.) (1 point)

c. Write puck 1’s velocity after the collision in component form. (1 point)

d. What is the y-component of puck 2’s velocity after the collision? (2 points)

e. What is the x-component of puck 2’s velocity after the collision? (2 points)

f. At what angle does puck 2 move after the collision? Determine the angle and draw it on the diagram. (2 points)

g. What is the magnitude of puck 2’s velocity after the collision? (1 point)

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