check_momentum_conservation
Verify total momentum conservation in collisions by comparing initial and final momentum vectors within a given tolerance.
Instructions
Verify conservation of momentum.
Checks whether total momentum is conserved in a collision or interaction.
Momentum should be conserved in isolated systems (no external forces).
Args:
initial_momentum: Initial total momentum [x, y, z] in kg⋅m/s (or JSON string)
final_momentum: Final total momentum [x, y, z] in kg⋅m/s (or JSON string)
tolerance: Tolerance for conservation check (fraction, default 0.01 = 1%)
Returns:
Dict containing:
- initial_momentum_magnitude: Initial |p| in kg⋅m/s
- final_momentum_magnitude: Final |p| in kg⋅m/s
- momentum_difference: Difference [x, y, z]
- momentum_difference_magnitude: |Δp|
- momentum_difference_percent: % difference
- is_conserved: Whether momentum is conserved within tolerance
Tips for LLMs:
- Momentum is ALWAYS conserved in isolated systems
- Vector quantity - direction matters
- Use to validate collision calculations
- External forces (friction, etc.) can change total momentum
Example - Collision verification:
result = await check_momentum_conservation(
initial_momentum=[3000, 0, 0], # kg⋅m/s
final_momentum=[2995, 5, 0], # slightly off
tolerance=0.01
)Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| initial_momentum | Yes | ||
| final_momentum | Yes | ||
| tolerance | No |