calculate_elastic_collision_3d
Calculate final velocities after a 3D elastic collision where kinetic energy and momentum are conserved. Use for billiard balls, Newton's cradle, and other idealized systems.
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 |