calculate_elastic_collision_3d
Calculate final velocities and verify conservation of momentum and kinetic energy in a perfectly elastic 3D collision.
Instructions
Calculate 3D elastic collision (perfect energy conservation).
Special case of collision where no kinetic energy is lost (e = 1.0).
Both momentum and energy are conserved.
Args:
mass1: Mass of object 1 in kg
velocity1: Velocity of object 1 [x, y, z] in m/s (or JSON string)
mass2: Mass of object 2 in kg
velocity2: Velocity of object 2 [x, y, z] in m/s (or JSON string)
Returns:
Dict containing:
- final_velocity1: Final velocity [x, y, z] in m/s
- final_velocity2: Final velocity [x, y, z] in m/s
- initial_momentum: Total momentum [x, y, z]
- final_momentum: Total momentum [x, y, z]
- initial_kinetic_energy: Total KE in Joules
- final_kinetic_energy: Total KE in Joules
Tips for LLMs:
- Ideal approximation for billiard balls, Newton's cradle
- Both momentum and energy conserved
- Equal masses + head-on → velocities exchange
- Use for educational examples, idealized systems
Example - Pool balls:
result = await calculate_elastic_collision_3d(
mass1=0.17, # kg (pool ball)
velocity1=[2, 0, 0], # 2 m/s
mass2=0.17, # kg
velocity2=[0, 0, 0] # stationary
)
# Result: ball 1 stops, ball 2 moves at 2 m/sInput Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| mass1 | Yes | ||
| velocity1 | Yes | ||
| mass2 | Yes | ||
| velocity2 | Yes |