Physics MCP Server

Computes the momentum vector, which represents "quantity of motion."
Momentum is conserved in collisions, making it crucial for analyzing
impacts, explosions, and rocket propulsion.

Args:
    mass: Mass in kilograms (must be positive)
    velocity_x: X component of velocity in m/s
    velocity_y: Y component of velocity in m/s
    velocity_z: Z component of velocity in m/s

Returns:
    MomentumResponse containing:
        - momentum: Momentum vector [x, y, z] in kg⋅m/s
        - magnitude: Momentum magnitude in kg⋅m/s

Tips for LLMs:
    - Momentum is a vector (has direction), unlike kinetic energy
    - Total momentum before collision = total momentum after (conservation)
    - Large mass × small velocity can equal small mass × large velocity
    - Use to analyze: collisions, recoil, rocket thrust

Example:
    # Momentum of a 70kg person running at 5 m/s
    result = await calculate_momentum(
        mass=70.0,
        velocity_x=5.0,
        velocity_y=0.0,
        velocity_z=0.0
    )
    print(f"Momentum: {result.magnitude:.1f} kg⋅m/s")