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Questions and Answers
What is the initial momentum of the system before any collisions occur?
What is the initial momentum of the system before any collisions occur?
- 8 kg m/s
- 6 kg m/s
- 14 kg m/s
- 0 kg m/s (correct)
What is the final velocity of ball A after the collision in Exercise I?
What is the final velocity of ball A after the collision in Exercise I?
- 0.54 m/s
- 0.15 m/s
- 0.09 m/s (correct)
- 0.4 m/s
In Exercise II, what is the velocity of ball A before any collision occurs?
In Exercise II, what is the velocity of ball A before any collision occurs?
- 8/3 m/s (correct)
- 3/4 m/s
- 0 m/s
- 2.67 m/s
What key principle is used to analyze the collisions in the exercises?
What key principle is used to analyze the collisions in the exercises?
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Which of the following correctly describes the relationship between the masses and velocities of the balls in Exercise II?
Which of the following correctly describes the relationship between the masses and velocities of the balls in Exercise II?
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Study Notes
Exercise I
- Three balls (A, B, and C) with masses 2 kg, 4 kg, and 8 kg respectively.
- Ball A is moving to the left at 3/4 m/s, ball B and C are stationary.
- The system is smooth.
- The initial momentum of the ball system is 0.
- The final momentum of the ball system is also 0.
- The velocity after the collision of all balls is calculated.
Exercise II
- Similar setup to Exercise I, but with different initial conditions.
- Mass of A = 2 kg, Mass of B = 2 kg, Mass of C = 8 kg.
- Initial velocities: A = 8/3 m/s, B = 0 m/s, C = 3/4 m/s.
- The velocities of the balls are calculated after each collision, utilizing conservation of momentum and kinetic energy.
- The time and distance for successive collisions are also calculated.
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