Questions and Answers
What is the purpose of resolving velocities into i and j directions during an oblique collision?
Which formula would you use to calculate the change in energy during an oblique collision?
How is the angle of deflection, B, determined when analyzing a collision?
Why is the i axis significant in solving oblique collisions?
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What is the main outcome of solving a 1D collision using only the i components?
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If a question asks for the resultant speed after a collision, which steps must be taken?
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What is the assumption made about the forces exerted by particles on each other in an oblique collision?
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In an oblique collision, which components of velocity change?
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What is the purpose of finding the resultant velocity in an oblique collision?
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What is the relationship between the angle of approach, A, and the angle of exit, A+B?
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When analyzing an oblique collision, what can be said about the original j components of velocity?
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What does the angle of deflection, B, represent in an oblique collision?
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When resolving velocities during an oblique collision, which direction is primarily considered for the collision?
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What must be done to find the resultant velocity after an oblique collision?
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In the context of an oblique collision, which statement is true about the forces exerted between the particles?
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Which of the following describes what happens during the resolution of velocities in an oblique collision?
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Study Notes
Oblique Collisions
- Particles that collide at an angle deflect off each other, with forces exerted only along the axis through their centers.
- Velocities can only change along this axis.
Steps for Solving Oblique Collisions
- Define the axis joining the centers as the i axis.
- Resolve velocities into i and j directions.
- Solve a 1D collision involving only the i components.
- Add the original j components to get the final velocities.
Additional Considerations
- To find speed, find the resultant of i and j velocities.
- To find change in energy, use ½ mv^2 with the speeds.
- To find change in impulse, use mv with the speeds.
Particle Directions
- The angle between the i axis and the direction a particle moves off with can be solved using trigonometry.
- The difference between the angle of approach, A, and angle of exit, A+B, is called the angle of deflection, B.
Oblique Collisions
- Particles that collide at an angle deflect off each other, with forces exerted only along the axis through their centers.
- Velocities can only change along this axis.
Steps for Solving Oblique Collisions
- Define the axis joining the centers as the i axis.
- Resolve velocities into i and j directions.
- Solve a 1D collision involving only the i components.
- Add the original j components to get the final velocities.
Additional Considerations
- To find speed, find the resultant of i and j velocities.
- To find change in energy, use ½ mv^2 with the speeds.
- To find change in impulse, use mv with the speeds.
Particle Directions
- The angle between the i axis and the direction a particle moves off with can be solved using trigonometry.
- The difference between the angle of approach, A, and angle of exit, A+B, is called the angle of deflection, B.
Oblique Collisions
- Particles that collide at an angle deflect off each other, with forces exerted only along the axis through their centers.
- Velocities can only change along this axis.
Steps for Solving Oblique Collisions
- Define the axis joining the centers as the i axis.
- Resolve velocities into i and j directions.
- Solve a 1D collision involving only the i components.
- Add the original j components to get the final velocities.
Additional Considerations
- To find speed, find the resultant of i and j velocities.
- To find change in energy, use ½ mv^2 with the speeds.
- To find change in impulse, use mv with the speeds.
Particle Directions
- The angle between the i axis and the direction a particle moves off with can be solved using trigonometry.
- The difference between the angle of approach, A, and angle of exit, A+B, is called the angle of deflection, B.
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Description
Understand the principles of oblique collisions, including deflection, force, and velocity changes. Learn the step-by-step process to solve oblique collision problems.