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Questions and Answers
What is the initial momentum of the system before any collisions occur?
What is the final velocity of ball A after the collision in Exercise I?
In Exercise II, what is the velocity of ball A before any collision occurs?
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?
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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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Description
Test your understanding of momentum with two practical exercises involving three balls of different masses. In the first exercise, analyze the collision of balls moving at specified velocities; in the second, extend your knowledge with a different set of initial conditions. Use conservation of momentum and kinetic energy principles to solve for final velocities.
