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Questions and Answers
What is the purpose of resolving velocities into i and j directions during an oblique collision?
What is the purpose of resolving velocities into i and j directions during an oblique collision?
- To determine the initial speeds of the particles
- To calculate the total momentum of the system
- To isolate the directional components that affect the collision (correct)
- To find the energy lost in the collision
Which formula would you use to calculate the change in energy during an oblique collision?
Which formula would you use to calculate the change in energy during an oblique collision?
- v²/2
- mgh
- mv
- ½ mv2 (correct)
How is the angle of deflection, B, determined when analyzing a collision?
How is the angle of deflection, B, determined when analyzing a collision?
- By adding the angle of approach and angle of exit
- By taking the arctangent of the i and j components
- By finding the average of the angle of approach and angle of exit
- By subtracting the angle of exit from the angle of approach (correct)
Why is the i axis significant in solving oblique collisions?
Why is the i axis significant in solving oblique collisions?
What is the main outcome of solving a 1D collision using only the i components?
What is the main outcome of solving a 1D collision using only the i components?
If a question asks for the resultant speed after a collision, which steps must be taken?
If a question asks for the resultant speed after a collision, which steps must be taken?
What is the assumption made about the forces exerted by particles on each other in an oblique collision?
What is the assumption made about the forces exerted by particles on each other in an oblique collision?
In an oblique collision, which components of velocity change?
In an oblique collision, which components of velocity change?
What is the purpose of finding the resultant velocity in an oblique collision?
What is the purpose of finding the resultant velocity in an oblique collision?
What is the relationship between the angle of approach, A, and the angle of exit, A+B?
What is the relationship between the angle of approach, A, and the angle of exit, A+B?
When analyzing an oblique collision, what can be said about the original j components of velocity?
When analyzing an oblique collision, what can be said about the original j components of velocity?
What does the angle of deflection, B, represent in an oblique collision?
What does the angle of deflection, B, represent in an oblique collision?
When resolving velocities during an oblique collision, which direction is primarily considered for the collision?
When resolving velocities during an oblique collision, which direction is primarily considered for the collision?
What must be done to find the resultant velocity after an oblique collision?
What must be done to find the resultant velocity after an oblique collision?
In the context of an oblique collision, which statement is true about the forces exerted between the particles?
In the context of an oblique collision, which statement is true about the forces exerted between the particles?
Which of the following describes what happens during the resolution of velocities in an oblique collision?
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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