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chrishayuk

Physics MCP Server

by chrishayuk

check_momentum_conservation

Verify momentum conservation in collisions by comparing initial and final momentum vectors within a specified tolerance to validate physics calculations.

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
NameRequiredDescriptionDefault
initial_momentumYes
final_momentumYes
toleranceNo

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