Ball A, with a mass of 2.00 kilograms and an initial velocity of +4.00 meters per second, collides head-on with ball B, which has a mass of 3.00 kilograms and is initially at rest. If the collision is elastic, what are the velocities of the balls after the collision? Include units in your answers. Hint: Do not use a magical book equation! Consider what two quantities are conserved in this elastic collision. 4.0 (ball A) (ball B)
Ball A, with a mass of 2.00 kilograms and an initial velocity of +4.00 meters per second, collides head-on with ball B, which has a mass of 3.00 kilograms and is initially at rest. If the collision is elastic, what are the velocities of the balls after the collision? Include units in your answers. Hint: Do not use a magical book equation! Consider what two quantities are conserved in this elastic collision. 4.0 (ball A) (ball B)
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![**Collision of Two Balls: An Elastic Collision Problem**
In this problem, we consider the collision between two balls:
- **Ball A**:
- Mass: 2.00 kilograms
- Initial Velocity: +4.00 meters per second
- **Ball B**:
- Mass: 3.00 kilograms
- Initial Velocity: 0 meters per second (at rest)
The problem asks to calculate the velocities of Ball A and Ball B after the collision, assuming it is an elastic collision.
**Key Considerations:**
- **Elastic Collision**: In an elastic collision, both momentum and kinetic energy are conserved.
**Hints:**
- Do not use a "magical book equation."
- Think about the conservation of momentum and kinetic energy in this scenario.
**Inputs:**
- Initial Velocity for Ball A: [4.0]
- Initial Velocity for Ball B: [0.0]
Use these inputs to determine the final velocities after the collision.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f809bf0-0295-4521-8792-c7d779dd940a%2Fede5a100-7e7d-411b-9097-37335dd4a993%2Fitfew5b_processed.png&w=3840&q=75)
Transcribed Image Text:**Collision of Two Balls: An Elastic Collision Problem**
In this problem, we consider the collision between two balls:
- **Ball A**:
- Mass: 2.00 kilograms
- Initial Velocity: +4.00 meters per second
- **Ball B**:
- Mass: 3.00 kilograms
- Initial Velocity: 0 meters per second (at rest)
The problem asks to calculate the velocities of Ball A and Ball B after the collision, assuming it is an elastic collision.
**Key Considerations:**
- **Elastic Collision**: In an elastic collision, both momentum and kinetic energy are conserved.
**Hints:**
- Do not use a "magical book equation."
- Think about the conservation of momentum and kinetic energy in this scenario.
**Inputs:**
- Initial Velocity for Ball A: [4.0]
- Initial Velocity for Ball B: [0.0]
Use these inputs to determine the final velocities after the collision.
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